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Relevant bibliographies by topics / Noncommutative equivariant cohomology

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Academic literature on the topic 'Noncommutative equivariant cohomology'

Author: Grafiati

Published: 14 March 2023

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Journal articles on the topic "Noncommutative equivariant cohomology"

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Kumar, Shrawan. "Induction functor in noncommutative equivariant cohomology and Dirac cohomology." Journal of Algebra 291, no. 1 (2005): 187–207. http://dx.doi.org/10.1016/j.jalgebra.2005.01.055.

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2

Cirio, Lucio S. "Twisted noncommutative equivariant cohomology: Weil and Cartan models." Journal of Geometry and Physics 60, no. 9 (2010): 1170–89. http://dx.doi.org/10.1016/j.geomphys.2010.04.011.

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Varshovi, Amir Abbass. "⋆-cohomology, third type Chern character and anomalies in general translation-invariant noncommutative Yang–Mills." International Journal of Geometric Methods in Modern Physics 18, no. 06 (2021): 2150089. http://dx.doi.org/10.1142/s0219887821500894.

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A representation of general translation-invariant star products ⋆ in the algebra of [Formula: see text] is introduced which results in the Moyal–Weyl–Wigner quantization. It provides a matrix model for general translation-invariant noncommutative quantum field theories in terms of the noncommutative calculus on differential graded algebras. Upon this machinery a cohomology theory, the so-called ⋆-cohomology, with groups [Formula: see text], [Formula: see text], is worked out which provides a cohomological framework to formulate general translation-invariant noncommutative quantum field theorie

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4

GOSWAMI, DEBASHISH. "TWISTED ENTIRE CYCLIC COHOMOLOGY, J-L-O COCYCLES AND EQUIVARIANT SPECTRAL TRIPLES." Reviews in Mathematical Physics 16, no. 05 (2004): 583–602. http://dx.doi.org/10.1142/s0129055x04002114.

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We study the "quantized calculus" corresponding to the algebraic ideas related to "twisted cyclic cohomology" introduced in [12]. With very similar definitions and techniques as those used in [9], we define and study "twisted entire cyclic cohomology" and the "twisted Chern character" associated with an appropriate operator theoretic data called "twisted spectral data", which consists of a spectral triple in the conventional sense of noncommutative geometry [1] and an additional positive operator having some specified properties. Furthermore, it is shown that given a spectral triple (in the co

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5

Pomoni, Elli, Wenbin Yan, and Xinyu Zhang. "Tetrahedron Instantons." Communications in Mathematical Physics, April 20, 2022. http://dx.doi.org/10.1007/s00220-022-04376-z.

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AbstractWe introduce and study tetrahedron instantons, which can be realized in string theory by $$\hbox {D}1$$ D 1 -branes probing a configuration of intersecting $$\hbox {D}7$$ D 7 -branes in flat spacetime with a proper constant B-field. Physically they capture instantons on $$\mathbb {C}^{3}$$ C 3 in the presence of the most general intersecting real codimension-two supersymmetric defects. Moreover, we construct the tetrahedron instantons as particular solutions of general instanton equations in noncommutative field theory. We analyze the moduli space of tetrahedron instantons and discuss

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Dissertations / Theses on the topic "Noncommutative equivariant cohomology"

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Cirio, Lucio Simone. "Symmetries of noncommutative spaces and equivariant cohomology." Doctoral thesis, SISSA, 2008. http://hdl.handle.net/20.500.11767/4180.

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As the title suggests, the main subject of this thesis is the study of symmetries of noncommutative spaces and related equivariant cohomologies. We focus on deformations of classical geometries coming from the action of some symmetry. A close relation between the deformation of the symmetry and the deformation of the space on which it acts is at the heart of our approach; we will use this idea to generate noncommutative geometries, and to de¯ne algebraic models for the equivariant cohomology of such actions.

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Books on the topic "Noncommutative equivariant cohomology"

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Noncommutative Motives. American Mathematical Society, 2015.

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