Can I read Todd genus and $A_k$-genus of unitary $S^1$-manifolds on EtoBox?

Todd genus and $A_k$-genus of unitary $S^1$-manifolds by Wang, Jianbo; Yu, Zhiwang; Wang, Yuyu is a scholarly article available to read on EtoBox.

What is Todd genus and $A_k$-genus of unitary $S^1$-manifolds about?

Assume that $M$ is a compact connected unitary 2n-dimensional manifold and admits a non-trivial circle action preserving the given complex structure. If the first Chern class of $M$ equals to $k_0x$ for a certain 2nd integral cohomology class $x$ with $|k_0|\geq n + 2$, and its first integral cohomology group is zero, this short paper shows that the Todd genus and $A_k$-genus of $M$ vanish.

Author

Wang, Jianbo; Yu, Zhiwang; Wang, Yuyu

Published

2020

Language

EN