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November 01, 2023
Wednesday, November 01
Transformation Groups Seminar
Time: 10:30
Speaker: Kumar Sannidhya Shukla (Western)
Title: "Complexity 0 torus action on manifolds (Part 3)"
Room: MC 108

Abstract: Let T be an n-dimensional torus acting on a ‘nice’ 2n-manifold M effectively, with nonempty set of fixed points and suppose that all the isotropy groups are connected. If the action satisfies another hypothesis (equivariant formality) then the quotient space M/T has the structure of a homology cell complex and is in fact a homology disk. In this talk we will give first discuss some general facts about orbits of torus actions on manifolds and about locally standard actions. Then using the Atiyah-Bredon-Franz-Puppe sequence we give a detailed proof of the fact that under the assumptions stated above, M/T is a homology disk.