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University Park
Altoona

Friday, January 23, 2009
4:00 pm, 260 Hawthorn

Zhaohu Nie
Penn State Altoona

Secondary Chern-Euler class and relative Poincare-Hopf theorem.

Abstract: For a manifold with boundary M, Sha defined a secondary Chern-Euler form on the compactified tangent bundle of M. He then used this to formulate a relative Poincare-Hopf theorem. We will show that Sha's form is exact away from the outward and inward unit normal vectors. Using Stokes' theorem, this then evaluate Sha's terms and thus proves that Sha's relative Poincare-Hopf is equivalent to the more classical `Law of Vector Fields'.

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We meet weekly on Friday afternoons at Penn State Altoona (and sometimes at Penn State University Park). If you are interested in giving a talk in our seminar please contact one of the coordinators for the Spring 2009 semester: Wojtek Dorabiala and Aissa Wade.

 

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