Equivariant K-theory and equivariant cohomology
نویسندگان
چکیده
منابع مشابه
Equivariant cohomology and equivariant intersection theory
This text is an introduction to equivariant cohomology, a classical tool for topological transformation groups, and to equivariant intersection theory, a much more recent topic initiated by D. Edidin and W. Graham. It is based on lectures given at Montréal is Summer 1997. Our main aim is to obtain explicit descriptions of cohomology or Chow rings of certain manifolds with group actions which ar...
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We give positive formulas for the restriction of a Schubert Class to a T -fixed point in the equivariant K-theory and equivariant cohomology of the Grassmannian. Our formulas rely on a result of Kodiyalam-Raghavan and Kreiman-Lakshmibai, which gives an equivariant Gröbner degeneration of a Schubert variety in the neighborhood of a T -fixed point of the Grassmannian.
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We give positive formulas for the restriction of a Schubert Class to a T -fixed point in the equivariant K-theory and equivariant cohomology of the Lagrangian Grassmannian. Our formulas rely on a result of GhorpadeRaghavan, which gives an equivariant Gröbner degeneration of a Schubert variety in the neighborhood of a T -fixed point of the Lagrangian Grassmannian.
متن کاملEquivariant K-theory
Topological K-theory [2] has many variants which have been developed and exploited for geometric purposes. There are real or quaternionic versions, “Real” K-theory in the sense of [1], equivariant K-theory [14] and combinations of all these. In recent years K-theory has found unexpected application in the physics of string theories [6, 12, 13, 16] and all variants of K-theory that had previousl...
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ژورنال
عنوان ژورنال: Mathematische Zeitschrift
سال: 2003
ISSN: 0025-5874,1432-1823
DOI: 10.1007/s00209-002-0447-1