Open Access
June 2012 On the conjecture of Kosinowski
Hyun Woong Cho, Jin Hong Kim, Han Chul Park
Asian J. Math. 16(2): 271-278 (June 2012).


The aim of this paper is to address some results closely related to the conjecture of Kosniowski about the number of fixed points on a unitary $S^1$-manifold with only isolated fixed points. More precisely, if certain $S^1$-equivariant Chern characteristic number of a unitary $S^1$-manifold $M$ is non-zero, we give a sharp (in certan cases) lower bound on the number of isolated fixed points in terms of certain integer powers in the $S^1$-equivariant Chern number. In addition, we also deal with the case of oriented unitary $T^n$-manifolds.


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Hyun Woong Cho. Jin Hong Kim. Han Chul Park. "On the conjecture of Kosinowski." Asian J. Math. 16 (2) 271 - 278, June 2012.


Published: June 2012
First available in Project Euclid: 9 April 2012

MathSciNet: MR2916364

Primary: 55N91 , 57S25

Keywords: ABBV localization theorem , isolated fixed points , Kosniowski’s conjecture , Unitary G-manifolds

Rights: Copyright © 2012 International Press of Boston

Vol.16 • No. 2 • June 2012
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