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math.DG1999
On Family Rigidity Theorems II
Kefeng LIU, Xiaonan MA
In LM, we proved a family version of the famous Witten rigidity theorems and several family vanishing theorems for elliptic genera. In this paper, we gerenalize our theorems LM in…
math.DG1999
On Family Rigidity Theorems I
Kefeng LIU, Xiaonan MA
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 fami…