Department of Mathematics

Prof. Dr. Andrzej Szczepański (University of Gdansk): "Intersection forms of 4-dimensional oriented almost-flat manifolds"

Nov 22, 2017 from 10:15 AM to 11:45 AM

LMS 4 - Raum 312 - Diskussionsraum

Abstract:

 I will present an introduction to flat and almost flat manifolds.  Then I will define a spin-structure on such objects and finally  I will prove the following:

 Let M be any almost-flat oriented 4-manifold different from the torus  with intersection form Q_{M}. Then  Q_{M} = 0 if the first Betti number b_1(M) = 1, Q_{M} = H if b_1(M) = 2  and Q_{M} = 2H if b_1(M) = 3.  Here H is the hyperbolic form with intersection matrix [0,1  1,0] of rank 2.

Einladender: R. Weidmann

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