Mitsunobu TSUTAYA Faculty of Mathematics, Kyushu University, Fukuoka, 819-0395, Japan. tsutaya_at_math_dot_kyushu-u.ac_dot_jp (please replace "_at_" by "@" and "_dot_" by ".") I am the organizer of the Kyushu University Topology Seminar (Fridays 16:00-17:00). Research Interest algebraic topology, Preprints - (with N. Iwase and M. Sakai)
A short proof for tc(*K*)=4, preprint. - Preprint
Erratum to "Homotopy pullback of*A*-spaces and its applications to_{n}*A*-types of gauge groups",_{n} accepted for publication by Topology Appl. - arXiv:1612.08816 (with S. Hasui and D. Kishimoto)
Higher homotopy commutativity in localized Lie groups and gauge groups, accepted for publication by Homology, Homotopy Appl. - arXiv:1606.07363
Coincidence Reidemeister trace and its generalization, preprint.
Published Papers - MR3733837 arXiv:1405.0337 (with D. Kishimoto)
Samelson products in*p*-regular SO(2*n*) and its homotopy normality, Glasg. Math. J. 60 (2018), 165-174. - MR3679077 (with D. Kishimoto and S. Theriault)
The homotopy types of*G*_{2}gauge groups, Topology Appl. 228 (2017), 92-107. - MR3491849 arXiv:1408.2010
Mapping spaces from projective spaces, Homology, Homotopy Appl. 18 (2016), 173-203. - MR3465846 arXiv:1502.02781 (with D. Kishimoto)
Infiniteness of*A*_{∞}-types of gauge groups, J. Topol. 9 (2016), 181-191. - MR3327166 arXiv:1210.8252 !!Erratum!!
Homotopy pullback of*A*-spaces and its applications to_{n}*A*-types of gauge groups,_{n} Topology Appl. 187 (2015), 1-25.
- MR3194181 (with D. Kishimoto and A. Kono)
On localized unstable*K*^{1}-groups and applications to self-homotopy groups, Canad. Math. Bull. 57 (2014), 344-356. - MR3164541 (with D. Kishimoto and A. Kono)
On*p*-local homotopy types of gauge groups, Proc. Roy. Soc. Edinburgh: Sect. A 144 (2014), 149-160. - MR3071142 (with D. Kishimoto and A. Kono)
Mod*p*decompositions of gauge groups, Algebr. Geom. Topol. 13 (2013), 1757-1778. - MR2876314 arXiv:1107.3908
Finiteness of*A*-equivalence types of gauge groups,_{n} J. London Math. Soc. 85 (2012), 142-164. - MR2864856 arXiv:1101.4278
A note on homotopy types of connected components of Map(*S*^{4},BSU(2)), J. Pure and Appl. Algebra 216 (2012), 826-832.
Lecture Notes - Evaluation fiber sequence and homotopy commutativity,
lecture notes for Algebraic Topology Workshop for Young Researches 2015.
Other Documents -
M. Tsutaya,
On evaluation fiber sequences, RIMS Kokyuroku No. 1922, The Topology and the Algebraic Structures of Transformation Groups, 166-169. - 井澤昇平・大下達也・蔦谷充伸・野坂武史，
代数的K-理論の基礎とその周辺 (Japanese)， 第六回琵琶湖若手数学者勉強会（2012年2月）報告書 - 伊藤哲也・今城洋亮・蔦谷充伸・野坂武史，
Atiyah-Singer の指数定理 (Japanese)， 第五回琵琶湖若手数学者勉強会（2011年2月）報告書
Talks 2017- - Notes
*T*-property of^{f}_{n}*B*SU(2) and relation to fiberwise*A*-triviality,_{n} Homotopy Theory Seminar 2018, Fukuoka University, January 2018. - Slides
Higher homotopy commutativity in localized Lie groups and gauge groups, Homotopy Theory Symposium 2017, Takamatsu City Lifelong Learning Center, Novenmber 2017. - Notes
Homotopy theoretic classifications of gauge groups, Young Researchers in Homotopy Theory and Toric Topology 2017, Kyoto University, August 2017. - Slides
Applications of Stasheff's*A*-theory to Lie groups,_{∞} MSJ Spring Meeting 2017, Tokyo Metropolitan University, March 2017. - Infiniteness of
*A*_{∞}-types of gauge groups, Friday's Topology Seminar, Autonomous University of Barcelona, February 2017. - Notes
Higher homotopy commutativity in localized Lie groups and gauge groups, Topology & Malaga Meeting, University of Malaga, Februrary 2017.
Homotopy Seminar Curriculum Vitae Positions - Assistant Professor, Kyushu Uniersity, May 2016 - present - JSPS Research Fellow PD, Kyushu University, April 2016 - Research Associate, Kyoto University, April 2013 - May 2016 - JSPS Research Fellow PD, Kyoto University, December 2011 - March 2013 - JSPS Research Fellow DC1, Kyoto University, April 2010 - November 2011 Degrees - D.S., Kyoto University, November 2011 - M.S., Kyoto University, March 2010 Grants - Grant for Basic Science Research Projects, Sumitomo Foundation, November 2015 - November 2016 - Grant-in-Aid for JSPS Fellows, Japan Society for the Promotion of Science, April 2010 - March 2013 Teaching - Geometry I Exercise (manifolds), First Semester 2018 - Calculus I, First Semester 2018 - Geometry II Exercise (homology of topological spaces), Second Semester 2017 - Geometry I Exercise (manifolds), First Semester 2017 - Survey in Mathematics II Exercise (metric spaces), First Semester 2017 - Linear Algebra, First Semester 2017 - Survey in Mathematics III Exercise (general topology), Second Semester 2016 - Survey in Mathematics I Exercise (convergence of series and sequence of functions), First Semester 2016 |