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-theory associated to vertex operator algebras
Chongying Dong, Kefeng Liu, Xiaonan Ma +1
We introduce two -theories, one for vector bundles whose fibers are modules of vertex operator algebras, another for vector bundles whose fibers are modules of associative algeb…
On orbifold elliptic genus
Chongying Dong, Kefeng Liu, Xiaonan Ma
We define orbifold elliptic genus for general orbifolds which generalizes the definition of Borisov and Libgober, and prove their rigidity property.
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…
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…