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Topology Seminar

Date:
-
Location:
745 Patterson Office Tower
Speaker(s) / Presenter(s):
Clinton Hines, University of Kentucky

Title:  Combinatorial Formulae for the \Chi_y Genus of Quasitoric Manifolds. 

Abstract:  We recall the definition of a quasitoric manifold as any smooth 2n-manifold admitting a nice action of the compact torus.  We then consider an equivalent formulation in terms of combinatorial data and its related stably complex structure.  Next we'll demonstrate Panov's proof for calculating the \Chi_y-genus of quasitoric manifolds in terms of this combinatorial description and elicit an explicit formula for the Todd genus.  Lastly, we'll work through a couple of small dimensional examples and postulate some related conjectures concerning "wedge" quasitoric manifolds.

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