Topology Seminar

Title: Family Hirzebruch Signature Theorem with Converse
Speaker: Bruce Williams
Speaker Info: Notre Dame
Brief Description:
Special Note:

Let $X$ be a space which satisfies 4k-dim. Poincare Duality, and let $\sigma(X)$ be the signature of $X$. If $X$ is a manifold, then $\sigma(X)$ can be ``disassembled'', i.e., $\sigma(X)$ is determined by a local invariant, the Hirzebruch $L$-polynomial. In this talk I'll give an enriched version of $\sigma(X)$ which is defined in all dimensions, and for dim >4, the enriched version can be disassembled if and only if $X$ admits a manifold structure. There is also a family version of this for fibrations.
Date: Wednesday, June 2, 2010
Time: 3:00pm
Where: Lunt 104
Contact Person: Prof. Paul Goerss
Contact email: pgoerss@math.northwestern.edu
Contact Phone: 847-491-8544
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