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On localization in holomorphic equivariant cohomology
Published 2012-08-01Subjects: Get full text
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BRST quantization and equivariant cohomology: localization with asymptotic boundaries
Published 2018-09-01Get full text
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Topological correlators and surface defects from equivariant cohomology
Published 2020-09-01Get full text
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Schwinger-Keldysh formalism. Part II: thermal equivariant cohomology
Published 2017-06-01“…In particular, we argue that the structures can be understood in the language of extended equivariant cohomology. To keep the discussion self-contained, we provide a ba-sic review of the algebraic construction of equivariant cohomology and explain how it can be understood in familiar terms as a superspace gauge algebra. …”
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Twisting and localization in supergravity: equivariant cohomology of BPS black holes
Published 2019-03-01Get full text
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Crystallographic interacting topological phases and equivariant cohomology: to assume or not to assume
Published 2021-07-01“…Using a slightly generalized Bloch decomposition and Grassmanians made out of ground state spaces, we show that the P-equivariant cohomology of a d-dimensional torus gives rise to different interacting phases, where P denotes the point group of the crystalline structure. …”
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Computation of generalized equivariant cohomologies of Kac–Moody flag varieties
Published 2004“… <p style="text-align:justify;">In 1998, Goresky, Kottwitz, and MacPherson showed that for certain projective varieties X equipped with an algebraic action of a complex torus T, the equivariant cohomology ring <math><msubsup is="true"><mrow is="true"><mi is="true">H</mi></mrow><mrow is="true"><mi is="true">T</mi></mrow><mrow is="true"><mo is="true">*</mo></mrow></msubsup><mo is="true" stretchy="false">(</mo><mi is="true">X</mi><mo is="true" stretchy="false">)</mo></math> can be described by combinatorial data obtained from its orbit decomposition. …”
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Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Published 2014-04-01Subjects: Get full text
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Chevalley-Monk and Giambelli formulas for Peterson Varieties
Published 2014-01-01Subjects: Get full text
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An equivariant rim hook rule for quantum cohomology of Grassmannians
Published 2014-01-01Subjects: Get full text
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Abelianization for hyperkahler quotients
Published 2003“…We discuss applications of this theorem to quiver varieties, and compute as an example the ordinary and equivariant cohomology rings of a hyperpolygon space.…”
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Quantum groups and quantum cohomology
Published 2021“…© Astérisque 408, SMF 2019 — In this paper, we study the classical and quantum equivariant cohomology of Nakajima quiver varieties for a general quiver Q. …”
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Thom polynomials of Morin singularities
Published 2012“…We use a combination of the test-curve model of Porteous, and the localization methods in equivariant cohomology. Our formulas are independent of the codimension, and are computationally effective up to d = 6.…”
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