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Anja Böckenholt

Boris Botvinnik (University of Oregon, U.S.A.): Stable moduli spaces of high dimensional handlebodies. (Oberseminar Topologie)

Monday, 23.11.2015 14:00 im Raum M6

Mathematik und Informatik

I will report on a recent joint work with Nathan Perlmutter. We study the moduli space of handlebodies, i.e. the classifying space \BDiff((Dn+1×Sn)g,D2n) of the group of diffeomorphisms that restrict to the identity near an embedded disk D2n(Dn+1×Sn)g. We prove that there is a natural map \colimg\BDiff((Dn+1×Sn)g,D2n)Q0BO2n+1n+ which induces an isomorphism in integral homology when n4. Above, BO2n+1n denotes the n-connective cover of BO2n+1.



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