科研之友
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摘要
Let M-2n be a unitary torus (2n)-manifold, i.e., a (2n)-dimensional oriented stable complex connected closed T-n-manifold having a nonempty fixed point set. In this paper, we show that M bounds equivariantly if and only if the equivariant Chern numbers <(c(1)(Tn))(i)(c(2)(Tn))(j), [M]> = 0 for all i, j is an element of N, where c(l)(Tn) denotes the lth equivariant Chern class of M. As a consequence, we also show that if M does not bound equivariantly then the number of fixed points is at least inverted right perpendicularn/2inverted left perpendicular + 1.
- 出版日期2011
- 单位复旦大学
