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Speaker:

Andrea Bianchi
Affiliation:

MPIM
Date:

Mon, 20/11/2023 - 14:00 - 14:15
Location:

MPIM Lecture Hall
Parent event:

MPIM Topology Seminar Short introductory lectures.

Let M be an oriented, closed manifold; the collection of homology groups H_*(map(X,M)), for varying topological space X, carries additional operations; these come from functoriality of map(-,M), and from Poincare' duality of M. The most famous such operation is perhaps the Chas-Sullivan string product on H_*(map(S^1,M)). I will report on my current attempt to define quite general operations H_*(map(X,M))--->H_*(map(Y,M)) using the homology of a suitable "moduli space of graph cobordisms between X and Y".

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