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pro vyhledávání: '"Kameko, Masaki"'
Autor:
Kameko, Masaki
We determine when the integral homology of the classifying space of a PU(n)-gauge group over the sphere S^2 has torsion.
Comment: 14 pages, minor revision, accepted for publication in Proceedings A of the Royal Society of Edinburgh
Comment: 14 pages, minor revision, accepted for publication in Proceedings A of the Royal Society of Edinburgh
Externí odkaz:
http://arxiv.org/abs/2401.00199
Autor:
Kameko, Masaki
Publikováno v:
Proc. Amer. Math. Soc. Series B, vol.10, 262--272 (2023)
We give an example of a nonzero odd degree element of the classifying space of a connected Lie group such that all higher Milnor operations vanish on it. It is a counterexample for a conjecture of Kono and Yagita.
Comment: 11 pages, accepted for
Comment: 11 pages, accepted for
Externí odkaz:
http://arxiv.org/abs/2210.03284
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 2309-2327
Let $G$ be a compact connected Lie group with $\pi_1(G)\cong\mathbb{Z}$. We study the homotopy types of gauge groups of principal $G$-bundles over Riemann surfaces. This can be applied to an explicit computation of the homotopy groups of the moduli s
Externí odkaz:
http://arxiv.org/abs/2108.00143
Autor:
Kameko, Masaki
We give an example of a compact connected Lie group of the lowest rank such that the mod 2 cohomology ring of its classifying space has a nonzero nilpotent element.
Comment: a minor revision, accepted for publication in Journal of Topology and A
Comment: a minor revision, accepted for publication in Journal of Topology and A
Externí odkaz:
http://arxiv.org/abs/1906.04499
Autor:
Kameko, Masaki
Publikováno v:
Homology, Homotopy and Applications, 20(2), 2018, 361-375
We show that the analogue of the Peterson conjecture on the action of Steenrod squares does not hold in motivic cohomology.
Comment: 14 pages, to appear in Homology, Homotopy and Applications
Comment: 14 pages, to appear in Homology, Homotopy and Applications
Externí odkaz:
http://arxiv.org/abs/1710.06594
Autor:
Kameko, Masaki
Publikováno v:
Math. Proc. Cambridge Philos. Soc. 171(1), 2021, 113--132
Generalizing the classical work of Atiyah and Hirzebruch on non-algebraic classes, recently Quick proved the existence of torsion non-algebraic elements in the Brown-Peterson tower. We construct non-torsion non-algebraic elements in the Brown-Peterso
Externí odkaz:
http://arxiv.org/abs/1709.00532
Autor:
Kameko, Masaki
Publikováno v:
Proc. Japan Acad. Ser. A Math. Sci. 93 (2017), no. 7, 55--60
We show the non-triviality of the mod 3 Chern class of degree 324 of the adjoint representation of the exceptional Lie group E_8.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1605.04590
Autor:
Kameko, Masaki
Publikováno v:
Algebr. Geom. 4 (2017), no. 2, 221--228
We compute the Chern subgroup of the 4-th integral cohomology group of a certain classifying space and show that it is a proper subgroup. Such a classifying space gives us new counterexamples for the integral Hodge and Tate conjectures modulo torsion
Externí odkaz:
http://arxiv.org/abs/1601.06199
Autor:
Kameko, Masaki1 (AUTHOR)
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 7/18/2023, Vol. 10, p262-272. 11p.
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