On Family Rigidity Theorems I

Details On Family Rigidity Theorems I On Family Rigidity Theorems I

1999-10-08

arxiv.org/abs/math/9910047v1

Mathematics

Differential Geometry

22 pages. Duke Math. J. to appear

Scientific paper

In this paper, we first prove a local family version of the
Atiyah-Bott-Segal-Singer Lefschetz fixed point formula, then we extend the
famous Witten's rigidity Theorems to the family case. Several family vanishing
theorems for elliptic genera are also proved.

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