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
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+1⟨n⟩+ which induces an isomorphism in integral homology when n≥4. Above, BO2n+1⟨n⟩ denotes the n-connective cover of BO2n+1.
Angelegt am 04.11.2015 von Anja Böckenholt
Geändert am 04.11.2015 von Anja Böckenholt
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