Dergiler / Turkish Journal of Mathematics / 2014 / Cilt: 38 - Sayı: 3

Equivariant structure constants for Hamiltonian-T-spaces

Sayfa
483–491
DOI
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Özet

If there exists a set of canonical classes on a compact Hamiltonian-T-space in the sense of R Goldin and S Tolman, we derive some formulas for certain equivariant structure constants in terms of other equivariant structure constants and the values of canonical classes restricted to some fixed points. These formulas can be regarded as a generalization of Tymoczko's results.

Abstract

If there exists a set of canonical classes on a compact Hamiltonian-T-space in the sense of R Goldin and S Tolman, we derive some formulas for certain equivariant structure constants in terms of other equivariant structure constants and the values of canonical classes restricted to some fixed points. These formulas can be regarded as a generalization of Tymoczko's results.

Anahtar kelimeler: Symplectic geometry, moment map, equivariant cohomology, equivariant structure constant