Algebra/Topology seminar

Speaker: Samson Saneblidze

Title: On the string topology product

Abstract: For an oriented closed triangulated n-manifold M we first derive a cubical cellular structure on M, recover the intersection product on the homology H∗(M) by defining the chain-level pairing of degree −n on the cubical cellular chains C∗(M). Then using an appropriate cellular model of the free loop space ΛM an explicit combinatorial definition of the string topology product as well as its relationship with the standard coproduct on the homology H∗(ΛM) is given.