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    Title      l  On the conjecture of Kosniowski
    Author   l  Hyun Woong Cho, Jin Hong Kim, and Han Chul Park
    Date   l  2011-04-22
    Category   l  ASARC-Preprint-11-03
    Download    l 1303433170_0.659326.pdf  
Abstract
The aim of this paper is to address some results closely related to the conjecture
of Kosniowski about the number of xed points on a unitary S1-manifold with only
isolated xed points. More precisely, if certain S1-equivariant Chern characteristic
number of a unitary S1-manifold M is non-zero, we give a sharp lower bound on
the number of isolated xed points in terms of certain integer powers in the S1-
equivariant Chern number. In addition, in this paper we also deal with the case of
oriented unitary Tn-manifolds.