Seminarium z Topologii Algebraicznej
Wtorki, 14:30-16:00, sala 4070


Abstrakt:
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.
Strona seminarium