Characteristic numbers of positively curved spin-manifolds with symmetry

Author:

Dessai Anand

Abstract

Let M M be a S p i n Spin -manifold of positive sectional curvature and dimension > 8 >8 . Suppose a compact connected Lie group G G acts smoothly on M M . We show that the characteristic number A ^ ( M , T M ) \hat A(M,TM) vanishes if G G contains two commuting involutions acting isometrically on M M .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. Spin-manifolds and group actions;Atiyah, Michael,1970

2. The index of elliptic operators. I;Atiyah, M. F.;Ann. of Math. (2),1968

3. The index of elliptic operators. III;Atiyah, M. F.;Ann. of Math. (2),1968

4. On the rigidity theorems of Witten;Bott, Raoul;J. Amer. Math. Soc.,1989

5. Pure and Applied Mathematics, Vol. 46;Bredon, Glen E.,1972

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