Cobordisms of manifolds with boundary

Speaker(s)

Maciej Borodzik

Affiliation

Uniwersytet Warszawski

Date

March 23, 2012, 10:15 a.m.

Room

room 5840

Seminar

Seminar of Dynamical Systems Group

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We shall outline the theory of cobordisms of manifolds with boundary, starting from a suitably defined Morse function. As an application we shall show new results in the theory of higher dimensional links: each closed oriented manifolds M^{2n-1} in S^{2n+1} admits a Seifert surface and different Seifert surfaces give rise to S-equivalent Seifert matrices. This result has application in the theory of deformations of hypersurface singularities. This is a joint project with A. Nemethi and A. Ranicki.

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