Intersection Homology and Torus Actions

DOI10.2307/1990921zbMath0645.14021OpenAlexW4210533986MaRDI QIDQ3788127

Frances C. Kirwan

Publication date: 1988

Full work available at URL: https://doi.org/10.2307/1990921

zbMATH Keywords

resolution of singularitiestorus actionintersection homologyequivariant Morse theoryhypercohomology groups

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) (Co)homology theory in algebraic geometry (14F99)

Related Items

Rational intersection cohomology of quotient varieties. II, Rational smoothness, cellular decompositions and GKM theory, Tautological classes on the moduli spaces of stable maps to \(\mathbb {P}^r\) via torus actions, On the intersection cohomology of the moduli of SLn$\mathrm{SL}_n$‐Higgs bundles on a curve, On intersection cohomology with torus actions of complexity one, Fourier transform and the Iwahori-Matsumoto involution, Combinatorics and topology of proper toric maps, Local contribution to the Lefschetz fixed point formula, On the complex Cayley Grassmannian, On varieties parametrizing graded complex Lie algebras, Morse Theory, Stratifications and Sheaves

Cites Work

• Fixed points and torsion on Kähler manifolds
• Intersection homology. II
• A decomposition theorem for the integral homology of a variety
• Lefschetz fixed point theorem for intersection homology
• Rational intersection cohomology of quotient varieties
• Vanishing of odd-dimensional intersection cohomology
• Intersection homology theory
• Some topological aspects of C* actions on compact Kaehler manifolds
• Bimeromorphic smoothing of a complex-analytic space
• Some theorems on actions of algebraic groups
• Théoreme de Lefschetz et critères de dégénérescence de suites spectrales
• Nondegenerate critical manifolds
• Convexity and Commuting Hamiltonians
• The Yang-Mills equations over Riemann surfaces
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