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This article is cited in 11 scientific papers (total in 11 papers)
On rigid Hirzebruch genera
Oleg R. Musin Department of Mathematics, University of Texas at Brownsville, Brownsville, TX
Abstract:
The classical multiplicative (Hirzebruch) genera of manifolds have the wonderful property which is called rigidity. Rigidity of a genus $h$ means that if a compact connected Lie group $G$ acts on a manifold $X$, then the equivariant genus $h^G(X)$ is independent on $G$, i.e., $h^G(X)=h(X)$.
In this paper we are considering the rigidity problem for stably complex manifolds. In particular, we are proving that a genus is rigid if and only if it is a generalized Todd genus.
Key words and phrases:
Hirzebruch genus, rigid genus, complex bordism.
Received: February 11, 2009; in revised form July 10, 2010
Citation:
Oleg R. Musin, “On rigid Hirzebruch genera”, Mosc. Math. J., 11:1 (2011), 139–147
Linking options:
https://www.mathnet.ru/eng/mmj414 https://www.mathnet.ru/eng/mmj/v11/i1/p139
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Abstract page: | 356 | Full-text PDF : | 5 | References: | 54 |
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