# 伊藤 哲也

ORCID ID
https://orcid.org/0000-0001-8156-1341
researchmap URL
https://researchmap.jp/7000009413

(日本語)
Braid群、順序群、低次元トポロジー
(英語)
Braid groups, Orderable groups, Low-dimensional Topology

(日本語)
Braid群、順序群などを中心に、関連する（低次元）トポロジー・幾何学・代数（群論）を幅広く研究している。特に群上の非自明な順序の構成や、順序構造のトポロジーへの応用などに興味を持ち研究をしている。
(英語)
I am studying topology, geometry and algbera (group theory) concerning the braid groups and orderable groups. In particular, I am intersted in a construction of highly non-trivial orderings on groups, or an application of orderings to topology.

キーワード(日本語) キーワード(英語)

Tetsuya Ito Tetsuya Ito Tetsuya Ito Mutation invariance for the zeroth coefficients of colored HOMFLY polynomial Mutation invariance for the zeroth coefficients of colored HOMFLY polynomial Mutation invariance for the zeroth coefficients of colored HOMFLY polynomial Kodai Mathematical Journal, 43, 1, 1-15 Kodai Mathematical Journal, 43, 1, 1-15 Kodai Mathematical Journal, 43, 1, 1-15 2020/03 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Quasi-right-veering braids and nonloose links Quasi-right-veering braids and nonloose links Quasi-right-veering braids and nonloose links Algebraic & Geometric Topology, 19, 6, 2989-3032 Algebraic & Geometric Topology, 19, 6, 2989-3032 Algebraic & Geometric Topology, 19, 6, 2989-3032 2019/10/20 研究論文(学術雑誌)
Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito Tetsuya Ito, Kimihiko Motegi, Masakazu Teragaito Generalized torsion and decomposition of $3$ –manifolds Generalized torsion and decomposition of $3$ –manifolds Generalized torsion and decomposition of $3$ –manifolds Proceedings of the American Mathematical Society, 147, 11, 4999-5008 , 147, 11, 4999-5008 Proceedings of the American Mathematical Society, 147, 11, 4999-5008 2019/07/09 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Topological formula of the loop expansion of the colored Jones polynomials Topological formula of the loop expansion of the colored Jones polynomials Topological formula of the loop expansion of the colored Jones polynomials Transactions of the American Mathematical Society, 372, 1, 53-70 Transactions of the American Mathematical Society, 372, 1, 53-70 Transactions of the American Mathematical Society, 372, 1, 53-70 2019/03/25 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Invariant ordering of groups and topology Invariant ordering of groups and topology Invariant ordering of groups and topology Sugaku Expositions, 32, 1, 1-24 Sugaku Expositions, 32, 1, 1-24 Sugaku Expositions, 32, 1, 1-24 2019/03/21 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro The defect of Bennequin-Eliashberg inequality and Bennequin surfaces The defect of Bennequin-Eliashberg inequality and Bennequin surfaces The defect of Bennequin-Eliashberg inequality and Bennequin surfaces Indiana University Mathematics Journal, 68, 3, 799-833 Indiana University Mathematics Journal, 68, 3, 799-833 Indiana University Mathematics Journal, 68, 3, 799-833 2019 研究論文(学術雑誌)

Tetsuya Ito Tetsuya Ito Tetsuya Ito On a relation between the self-linking number and the braid index of closed braids in open books On a relation between the self-linking number and the braid index of closed braids in open books On a relation between the self-linking number and the braid index of closed braids in open books Kyoto Journal of Mathematics, 58, 1, 193-226 Kyoto Journal of Mathematics, 58, 1, 193-226 Kyoto Journal of Mathematics, 58, 1, 193-226 2018/04/01 英語 研究論文(学術雑誌)

Matthieu Calvez, Tetsuya Ito Matthieu Calvez, Tetsuya Ito Matthieu Calvez, Tetsuya Ito A Garside-theoretic analysis of the Burau representations A Garside-theoretic analysis of the Burau representations A Garside-theoretic analysis of the Burau representations JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 26, 7 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 26, 7 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 26, 7 2017/06 英語 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Essential open book foliations and fractional Dehn twist coefficient Essential open book foliations and fractional Dehn twist coefficient Essential open book foliations and fractional Dehn twist coefficient GEOMETRIAE DEDICATA, 187, 1, 17-67 GEOMETRIAE DEDICATA, 187, 1, 17-67 GEOMETRIAE DEDICATA, 187, 1, 17-67 2017/04 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito On the 3-dimensional invariant for cyclic contact branched coverings On the 3-dimensional invariant for cyclic contact branched coverings On the 3-dimensional invariant for cyclic contact branched coverings TOPOLOGY AND ITS APPLICATIONS, 216, 1-7 TOPOLOGY AND ITS APPLICATIONS, 216, 1-7 TOPOLOGY AND ITS APPLICATIONS, 216, 1-7 2017/02 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups Alexander polynomial obstruction of bi-orderability for rationally homologically fibered knot groups NEW YORK JOURNAL OF MATHEMATICS, 23, 497-503 NEW YORK JOURNAL OF MATHEMATICS, 23, 497-503 NEW YORK JOURNAL OF MATHEMATICS, 23, 497-503 2017 英語 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro On a question of Etnyre and Van Horn-Morris On a question of Etnyre and Van Horn-Morris On a question of Etnyre and Van Horn-Morris ALGEBRAIC AND GEOMETRIC TOPOLOGY, 17, 1, 561-566 ALGEBRAIC AND GEOMETRIC TOPOLOGY, 17, 1, 561-566 ALGEBRAIC AND GEOMETRIC TOPOLOGY, 17, 1, 561-566 2017 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Curve diagrams for Artin groups of type B Curve diagrams for Artin groups of type B Curve diagrams for Artin groups of type B HOKKAIDO MATHEMATICAL JOURNAL, 45, 3, 383-398 HOKKAIDO MATHEMATICAL JOURNAL, 45, 3, 383-398 HOKKAIDO MATHEMATICAL JOURNAL, 45, 3, 383-398 2016/10 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Framing functions and a strengthened version of Dehn's lemma Framing functions and a strengthened version of Dehn's lemma Framing functions and a strengthened version of Dehn's lemma JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25, 6 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25, 6 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 25, 6 2016/05 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito CONSTRUCTION OF ISOLATED LEFT ORDERINGS VIA PARTIALLY CENTRAL CYCLIC AMALGAMATION CONSTRUCTION OF ISOLATED LEFT ORDERINGS VIA PARTIALLY CENTRAL CYCLIC AMALGAMATION CONSTRUCTION OF ISOLATED LEFT ORDERINGS VIA PARTIALLY CENTRAL CYCLIC AMALGAMATION TOHOKU MATHEMATICAL JOURNAL, 68, 1, 49-71 TOHOKU MATHEMATICAL JOURNAL, 68, 1, 49-71 TOHOKU MATHEMATICAL JOURNAL, 68, 1, 49-71 2016/03 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito A homological representation formula of colored Alexander invariants A homological representation formula of colored Alexander invariants A homological representation formula of colored Alexander invariants ADVANCES IN MATHEMATICS, 289, 142-160 ADVANCES IN MATHEMATICS, 289, 142-160 ADVANCES IN MATHEMATICS, 289, 142-160 2016/02 英語 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Coverings of Open Books Coverings of Open Books Coverings of Open Books ADVANCES IN THE MATHEMATICAL SCIENCES, 6, 139-154 ADVANCES IN THE MATHEMATICAL SCIENCES, 6, 139-154 ADVANCES IN THE MATHEMATICAL SCIENCES, 6, 139-154 2016 英語 研究論文(国際会議プロシーディングス)
Tetsuya Ito Tetsuya Ito Tetsuya Ito On a structure of random open books and closed braids On a structure of random open books and closed braids On a structure of random open books and closed braids PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 91, 10, 160-162 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 91, 10, 160-162 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 91, 10, 160-162 2015/12 英語 研究論文(学術雑誌)
Nazer H. Halimi, Tetsuya Ito Nazer H. Halimi, Tetsuya Ito Nazer H. Halimi, Tetsuya Ito Cones of certain isolated left orderings and chain domains Cones of certain isolated left orderings and chain domains Cones of certain isolated left orderings and chain domains FORUM MATHEMATICUM, 27, 5, 3027-3051 FORUM MATHEMATICUM, 27, 5, 3027-3051 FORUM MATHEMATICUM, 27, 5, 3027-3051 2015/09 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito ACTIONS OF THE N-STRAND BRAID GROUPS ON THE FREE GROUP OF RANK N WHICH ARE SIMILAR TO THE ARTIN REPRESENTATION ACTIONS OF THE N-STRAND BRAID GROUPS ON THE FREE GROUP OF RANK N WHICH ARE SIMILAR TO THE ARTIN REPRESENTATION ACTIONS OF THE N-STRAND BRAID GROUPS ON THE FREE GROUP OF RANK N WHICH ARE SIMILAR TO THE ARTIN REPRESENTATION QUARTERLY JOURNAL OF MATHEMATICS, 66, 2, 563-581 QUARTERLY JOURNAL OF MATHEMATICS, 66, 2, 563-581 QUARTERLY JOURNAL OF MATHEMATICS, 66, 2, 563-581 2015/06 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito A kernel of a braid group representation yields a knot with trivial knot polynomials A kernel of a braid group representation yields a knot with trivial knot polynomials A kernel of a braid group representation yields a knot with trivial knot polynomials MATHEMATISCHE ZEITSCHRIFT, 280, 1-2, 347-353 MATHEMATISCHE ZEITSCHRIFT, 280, 1-2, 347-353 MATHEMATISCHE ZEITSCHRIFT, 280, 1-2, 347-353 2015/06 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Reading the Dual Garside Length of Braids from Homological and Quantum Representations Reading the Dual Garside Length of Braids from Homological and Quantum Representations Reading the Dual Garside Length of Braids from Homological and Quantum Representations COMMUNICATIONS IN MATHEMATICAL PHYSICS, 335, 1, 345-367 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 335, 1, 345-367 COMMUNICATIONS IN MATHEMATICAL PHYSICS, 335, 1, 345-367 2015/04 英語 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Overtwisted discs in planar open books Overtwisted discs in planar open books Overtwisted discs in planar open books INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 3 INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 3 INTERNATIONAL JOURNAL OF MATHEMATICS, 26, 3 2015/03 英語 研究論文(学術雑誌)
Tetsuya Ito, Bert Wiest Tetsuya Ito, Bert Wiest Tetsuya Ito, Bert Wiest Lawrence-Krammer-Bigelow representations and dual Garside length of braids Lawrence-Krammer-Bigelow representations and dual Garside length of braids Lawrence-Krammer-Bigelow representations and dual Garside length of braids GEOMETRY & TOPOLOGY, 19, 3, 1361-1381 GEOMETRY & TOPOLOGY, 19, 3, 1361-1381 GEOMETRY & TOPOLOGY, 19, 3, 1361-1381 2015 英語 研究論文(学術雑誌)

Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Visualizing Overtwisted Discs in Open Books Visualizing Overtwisted Discs in Open Books Visualizing Overtwisted Discs in Open Books PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 50, 1, 169-180 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 50, 1, 169-180 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES, 50, 1, 169-180 2014/03 英語 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Open book foliation Open book foliation Open book foliation GEOMETRY & TOPOLOGY, 18, 3, 1581-1634 GEOMETRY & TOPOLOGY, 18, 3, 1581-1634 GEOMETRY & TOPOLOGY, 18, 3, 1581-1634 2014 英語 研究論文(学術雑誌)
Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Tetsuya Ito, Keiko Kawamuro Operations on open book foliations Operations on open book foliations Operations on open book foliations ALGEBRAIC AND GEOMETRIC TOPOLOGY, 14, 5, 2983-3020 ALGEBRAIC AND GEOMETRIC TOPOLOGY, 14, 5, 2983-3020 ALGEBRAIC AND GEOMETRIC TOPOLOGY, 14, 5, 2983-3020 2014 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito The classification of Wada-type representations of braid groups The classification of Wada-type representations of braid groups The classification of Wada-type representations of braid groups JOURNAL OF PURE AND APPLIED ALGEBRA, 217, 9, 1754-1763 JOURNAL OF PURE AND APPLIED ALGEBRA, 217, 9, 1754-1763 JOURNAL OF PURE AND APPLIED ALGEBRA, 217, 9, 1754-1763 2013/09 英語 研究論文(学術雑誌)
T. Ito T. Ito T. Ito An algorithmic approach to Hurwitz equivalences An algorithmic approach to Hurwitz equivalences An algorithmic approach to Hurwitz equivalences Hiroshima Mathematical Journal, 43, 3, 335-350 Hiroshima Mathematical Journal, 43, 3, 335-350 Hiroshima Mathematical Journal, 43, 3, 335-350 2013 英語
Tetsuya Ito, Bert Wiest Tetsuya Ito, Bert Wiest Tetsuya Ito, Bert Wiest How to read the length of a braid from its curve diagram (vol 5, pg 673, 2011) How to read the length of a braid from its curve diagram (vol 5, pg 673, 2011) How to read the length of a braid from its curve diagram (vol 5, pg 673, 2011) GROUPS GEOMETRY AND DYNAMICS, 7, 2, 495-496 GROUPS GEOMETRY AND DYNAMICS, 7, 2, 495-496 GROUPS GEOMETRY AND DYNAMICS, 7, 2, 495-496 2013 英語
Tetsuya Ito Tetsuya Ito Tetsuya Ito Non-left-orderable double branched coverings Non-left-orderable double branched coverings Non-left-orderable double branched coverings ALGEBRAIC AND GEOMETRIC TOPOLOGY, 13, 4, 1937-1965 ALGEBRAIC AND GEOMETRIC TOPOLOGY, 13, 4, 1937-1965 ALGEBRAIC AND GEOMETRIC TOPOLOGY, 13, 4, 1937-1965 2013 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito A Remark on the Alexander Polynomial Criterion for the Bi-orderability of Fibered 3-manifold Groups A Remark on the Alexander Polynomial Criterion for the Bi-orderability of Fibered 3-manifold Groups A Remark on the Alexander Polynomial Criterion for the Bi-orderability of Fibered 3-manifold Groups INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, 1, 156-169 INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, 1, 156-169 INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2013, 1, 156-169 2013 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Dehornoy-like left orderings and isolated left orderings Dehornoy-like left orderings and isolated left orderings Dehornoy-like left orderings and isolated left orderings JOURNAL OF ALGEBRA, 374, 42-58 JOURNAL OF ALGEBRA, 374, 42-58 JOURNAL OF ALGEBRA, 374, 42-58 2013/01 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito A functor-valued extension of knot quandles A functor-valued extension of knot quandles A functor-valued extension of knot quandles JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 64, 4, 1147-1168 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 64, 4, 1147-1168 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 64, 4, 1147-1168 2012/10 英語 研究論文(学術雑誌)
T. Ito T. Ito T. Ito Finite orbits of Hurwitz actions on braid systems Finite orbits of Hurwitz actions on braid systems Finite orbits of Hurwitz actions on braid systems Osaka Journal of Mathematics, 48, 3, 613-632 Osaka Journal of Mathematics, 48, 3, 613-632 Osaka Journal of Mathematics, 48, 3, 613-632 2011/09 英語
Tetsuya Ito Tetsuya Ito Tetsuya Ito BRAID ORDERING AND KNOT GENUS BRAID ORDERING AND KNOT GENUS BRAID ORDERING AND KNOT GENUS JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20, 9, 1311-1323 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20, 9, 1311-1323 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20, 9, 1311-1323 2011/09 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS FINITE THURSTON-TYPE ORDERINGS ON DUAL BRAID MONOIDS JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20, 7, 995-1019 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20, 7, 995-1019 JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, 20, 7, 995-1019 2011/07 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito A note on geometric constructions of bi-invariant orderings A note on geometric constructions of bi-invariant orderings A note on geometric constructions of bi-invariant orderings TOPOLOGY AND ITS APPLICATIONS, 158, 5, 690-696 TOPOLOGY AND ITS APPLICATIONS, 158, 5, 690-696 TOPOLOGY AND ITS APPLICATIONS, 158, 5, 690-696 2011/03 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito Braid ordering and the geometry of closed braid Braid ordering and the geometry of closed braid Braid ordering and the geometry of closed braid GEOMETRY & TOPOLOGY, 15, 1, 473-498 GEOMETRY & TOPOLOGY, 15, 1, 473-498 GEOMETRY & TOPOLOGY, 15, 1, 473-498 2011 英語 研究論文(学術雑誌)
Tetsuya Ito Tetsuya Ito Tetsuya Ito On finite Thurston-type orderings of braid groups On finite Thurston-type orderings of braid groups On finite Thurston-type orderings of braid groups Groups, Complexity, Cryptology, 2, 2, 123-155 Groups, Complexity, Cryptology, 2, 2, 123-155 Groups, Complexity, Cryptology, 2, 2, 123-155 2010/12 英語 研究論文(学術雑誌)

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タイトル タイトル(日本語) タイトル(英語) 会議名 会議名(日本語) 会議名(英語) 主催者 主催者(日本語) 主催者(英語) 発表年月日 記述言語 会議種別
Open book foliation for essential surfaces Open book foliation for essential surfaces Open book foliation for essential surfaces 2012 CMS summer meeting 2012 CMS summer meeting 2012 CMS summer meeting Canadian Mathematical Society Canadian Mathematical Society 2012/06/05 英語 口頭発表(招待・特別)
Ordering of mapping class groups and contact 3-manifolds Ordering of mapping class groups and contact 3-manifolds Ordering of mapping class groups and contact 3-manifolds Ordered groups and Topology Ordered groups and Topology Ordered groups and Topology Banff International Reserach station Banff International Reserach station 2012/02/15 英語 口頭発表(招待・特別)
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University of British Columbia Mathematics Department Orderable groups and Topology Canada 2012/04/01〜2013/03/24