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Algebraic Cycles and Equivariant Cohomology Theories
 Proc. London Math. Soc
, 1995
"... this paper is that algebraic cycles provide interesting nontrivial invariants for finite groups, as well as new equivariant cohomology theories which answer natural questions in equivariant homotopy theory. Besides being quite computable, these theories carry Chern classes for representations and h ..."
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Cited by 12 (10 self)
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this paper is that algebraic cycles provide interesting nontrivial invariants for finite groups, as well as new equivariant cohomology theories which answer natural questions in equivariant homotopy theory. Besides being quite computable, these theories carry Chern classes for representations and have deep relations with usual Borel cohomology theory. In fact their coe#cients are simpler than standard group cohomology and have a geometric interpretation of independent interest. Among their main properties, we shall prove a full equivariant analogue of the Segal loop space conjecture proved in [3]
Algebraic cycles and the classical groups, Part II: Quaternionic cycles
 BULL BRAZ MATH SOC
, 1998
"... ..."
Cycles and Spectra
"... this paper. I hope to introduce the fundamental ideas and survey the main results. The principal theme here is that: Algebraic cycles constitute natural models for classifying spaces in topology ..."
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this paper. I hope to introduce the fundamental ideas and survey the main results. The principal theme here is that: Algebraic cycles constitute natural models for classifying spaces in topology
unknown title
, 2005
"... homology and cohomology theory for real projective varieties ..."
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THE LAWSONYAU FORMULA AND ITS GENERALIZATION
, 809
"... Abstract. The Euler characteristic of Chow varieties of algebraic cycles of a given degree in complex projective spaces was computed by Blaine Lawson and Stephen Yau by using holomorphic symmetries of cycles spaces. In this paper we compute this in a direct and elementary way and generalize this for ..."
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Abstract. The Euler characteristic of Chow varieties of algebraic cycles of a given degree in complex projective spaces was computed by Blaine Lawson and Stephen Yau by using holomorphic symmetries of cycles spaces. In this paper we compute this in a direct and elementary way and generalize this formula to the ladic EulerPoincaré characteristic for Chow varieties over any algebraically closed field. Moreover, the Euler characteristic for Chow varieties with certain group action is calculated. In particular, we calculate the Euler characteristic of the space of right quaternionic cycles of a given dimension and degree in complex projective spaces. Contents