Algebraic Structure of Cohomological Field Theory Models and Equivariant Cohomology
Raymond Stora, Frank Thuillier, Jean-Christophe Wallet (1997)
Recherche Coopérative sur Programme n°25
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Raymond Stora, Frank Thuillier, Jean-Christophe Wallet (1997)
Recherche Coopérative sur Programme n°25
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Hannu Honkasalo (1996)
Mathematica Scandinavica
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Hannu Honkasalo (1988)
Mathematica Scandinavica
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Alejandro Adem (1989)
Commentarii mathematici Helvetici
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R. Stora (1997)
Recherche Coopérative sur Programme n°25
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Tor Skjelbred (1978)
Commentarii mathematici Helvetici
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Andreas Stieglitz (1978/79)
Manuscripta mathematica
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Elisabetta Strickland (1991)
Mathematische Annalen
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Hannu Honkasalo (1990)
Mathematica Scandinavica
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Kefeng Liu (1995)
Mathematische Annalen
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Matthias Franz (2010)
Colloquium Mathematicae
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Topologically, compact toric varieties can be constructed as identification spaces: they are quotients of the product of a compact torus and the order complex of the fan. We give a detailed proof of this fact, extend it to the non-compact case and draw several, mostly cohomological conclusions. In particular, we show that the equivariant integral cohomology of a toric variety can be described in terms of piecewise polynomials on the fan if the ordinary integral cohomology is concentrated...
Czes Kosniowski (1974)
Mathematische Annalen
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J. Duflot (1981)
Commentarii mathematici Helvetici
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Andrzej Weber (2004)
Open Mathematics
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We describe the weight filtration in the cohomology of toric varieties. We present a role of the Frobenius automorphism in an elementary way. We prove that equivariant intersection homology of an arbitrary toric variety is pure. We obtain results concerning Koszul duality: nonequivariant intersection cohomology is equal to the cohomology of the Koszul complexIH T*(X)⊗H*(T). We also describe the weight filtration inIH *(X).
V. Guillemin, J. Kalkman (1996)
Journal für die reine und angewandte Mathematik
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Sören Illman (1973)
Annales de l'institut Fourier
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Let be a topological group. We give the existence of an equivariant homology and cohomology theory, defined on the category of all -pairs and -maps, which both satisfy all seven equivariant Eilenberg-Steenrod axioms and have a given covariant and contravariant, respectively, coefficient system as coefficients. In the case that is a compact Lie group we also define equivariant -complexes and mention some of their basic properties. The paper is a short abstract...