Intersection numbers, transfers, and group actions

作者: Daniel H. Gottlieb , Murad Ozaydin

DOI: 10.1016/0166-8641(94)90066-3

关键词:

摘要: Abstract We introduce a new definition of intersection number by means umkehr maps. This agrees with an obvious up to sign. It allows us extend the concept parametrically fibre bundles. For bundles we can then define transfers. Fibre arise naturally in equivariant situations, so trace action divides numbers. apply this projective varieties and other examples. Also study actions nonconnected groups their traces.

参考文章(3)
William Browder, Nicholas M. Katz, Free actions of finite groups on varieties. II Mathematische Annalen. ,vol. 260, pp. 403- 412 ,(1982) , 10.1007/BF01457020
William Browder, Actions of elementary Abelian p-groups Topology. ,vol. 27, pp. 459- 472 ,(1988) , 10.1016/0040-9383(88)90024-9
Daniel Henry Gottlieb, The trace of an action and the degree of a map Transactions of the American Mathematical Society. ,vol. 293, pp. 381- 410 ,(1986) , 10.1090/S0002-9947-1986-0814928-9