Cohomology of Quotients in Symplectic and Algebraic Geometry

Frances Kirwan, C. (1984). Cohomology of Quotients in Symplectic and Algebraic Geometry. Princeton University Press.

Type

Book chapter

Intellectual base

Review or monograph

Year

1984

ISBN

9780691214566

Link

https://openlibrary.org/books/OL34186163Mmatched

Cited by

1 citation across 1 artifact.

Domain-specific

• Kirwan map
  • For a Hamiltonian \(G\)-space with moment map \(\mu\) and regular value \(0\), the Kirwan map is the graded-ring homomorphism \(\kappa:H_G^(M)\to H^(\mu^{-1}(0)/G)\) obtained by restriction to \(\mu^{-1}(0)\) followed by the equivariant-to-quotient identification under the relevant freeness or orbifold hypotheses.

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