Department of Mathematics

Indian Institute of Science

Bangalore 560 012

 

SEMINAR

 

Speaker

:

Prof. Amiya Mukherjee
Affiliation : Indian Statistical Institute, Kolkata

Subject Area

:

Mathematics

 

Venue

:

Lecture Hall - I, Dept of Mathematics

 

Time

:

4.00 pm

 

Date  

:

January 31, 2007 (Wednesday)

Title

:

Foliations and rational Pontrjagin class
Abstract : A result of S.P. Novikov applies to prove that if a map is homotopic to a homeomorphism, then it preserves
rational Pontrjagin classes. Also there are examples of homotopy equivalences which do not preserve such classes. In this lecture we outline a proof that a leafwise homotopy equivalence of compact foliated manifolds does preserve rational Pontrjagin classes, if the foliation of its domain has negatively curved leaves. The proof uses the ideas of G. Lusztig, G.G. Kasparov, and A.S. Miscenko, and is a suitable adaptation of their methods to the context of
foliations.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2625
E-mail: chairman.math[at]iisc[dot]ac[dot]in