On the Witten Rigidity Theorem for String$^c$ Manifolds
Jianqing Yu, Bo Liu
TL;DR
This paper proves new family rigidity and vanishing theorems for Witten-type operators on String$^c$ manifolds within equivariant $K$-theory, extending previous mathematical frameworks.
Contribution
It introduces novel family rigidity and vanishing theorems for String$^c$ manifolds, advancing the understanding of Witten-type operators in equivariant $K$-theory.
Findings
Established family rigidity theorems for String$^c$ manifolds.
Proved vanishing theorems for equivariant $K$-theory of Witten operators.
Extended Witten rigidity results to the String$^c$ setting.
Abstract
We establish the family rigidity and vanishing theorems on the equivariant -theory level for the Witten type operators on String manifolds introduced by Chen-Han-Zhang.
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