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Big polygon spaces and syzygies in equivariant cohomology
- Speaker(s)
- Matthias Franz
- Affiliation
- University of Western Ontario
- Date
- March 17, 2015, 2:30 p.m.
- Room
- room 4070
- Seminar
- Seminar Algebraic Topology
Polygon spaces are configuration spaces of polygons with prescribed
edge lengths. We present a related family of compact orientable
manifolds, called big polygon spaces. They come with a canonical torus
action, whose fixed point set is a polygon spaces. Big polygon spaces
are particularly interesting because they provide the only known
examples of maximal syzygies in equivariant cohomology. I will therefore start by reviewing the theory of syzygies in equivariant cohomology for actions of compact connected Lie groups as well as its relation to the equivariant Poincar? pairing and the "GKM method".
Part of the talk is based on joint work with Chris Allday and Volker
Puppe.
