Tuesday Seminar on Topology
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Date, time & place | Tuesday 17:00 - 18:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | HABIRO Kazuo, KAWAZUMI Nariya, KITAYAMA Takahiro, SAKASAI Takuya |
2007/05/15
16:30-18:00 Room #056 (Graduate School of Math. Sci. Bldg.)
渡邉 忠之 (京都大学数理解析研究所)
Kontsevich's characteristic classes for higher dimensional homology sphere bundles
渡邉 忠之 (京都大学数理解析研究所)
Kontsevich's characteristic classes for higher dimensional homology sphere bundles
[ Abstract ]
As an analogue of the perturbative Chern-Simons theory, Maxim Kontsevich
constructed universal characteristic classes of smooth fiber bundles with fiber
diffeomorphic to a singularly framed odd dimensional homology sphere.
In this talk, I will give a sketch proof of our result on non-triviality of the
Kontsevich classes for 7-dimensional homology sphere bundles.
As an analogue of the perturbative Chern-Simons theory, Maxim Kontsevich
constructed universal characteristic classes of smooth fiber bundles with fiber
diffeomorphic to a singularly framed odd dimensional homology sphere.
In this talk, I will give a sketch proof of our result on non-triviality of the
Kontsevich classes for 7-dimensional homology sphere bundles.