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pro vyhledávání: '"Heluani AS"'
The purpose of this note is to establish an isomorphism from the vector space of extensions between two modules over a vertex algebra, to an appropriate first chiral homology of one dimensional projective space with coefficients in the corresponding
Externí odkaz:
http://arxiv.org/abs/2408.06444
We develop the notion of a (pro-) conformal pseudo operad and apply it to the construction of the basic cohomology complex of a vertex algebra. The paper heavily uses the ideas and constructions of the work of Tamarkin [Tam02]
Comment: 40 pages
Comment: 40 pages
Externí odkaz:
http://arxiv.org/abs/2407.05725
We introduce the notion of double Courant-Dorfman algebra and prove that it satisfies the so-called Kontsevich-Rosenberg principle, that is, a double Courant-Dorfman algebra induces Roytenberg's Courant-Dorfman algebras on the affine schemes parametr
Externí odkaz:
http://arxiv.org/abs/2106.00270
Autor:
van Ekeren, Jethro, Heluani, Reimundo
We study the first chiral homology group of elliptic curves with coefficients in vacuum insertions of a conformal vertex algebra V. We find finiteness conditions on V guaranteeing that these homologies are finite dimensional, generalizing the $C_2$-c
Externí odkaz:
http://arxiv.org/abs/2103.06322
Publikováno v:
Jpn. J. Math. 16, 203-246 (2021)
We prove that, for a Poisson vertex algebra V, the canonical injective homomorphism of the variational cohomology of V to its classical cohomology is an isomorphism, provided that V, viewed as a differential algebra, is an algebra of differential pol
Externí odkaz:
http://arxiv.org/abs/2101.10939
We prove a new Fermionic quasiparticle sum expression for the character of the Ising model vertex algebra, related to the Jackson-Slater $q$-series identity of Rogers-Ramanujan type and to Nahm sums for the matrix $\left( \begin{smallmatrix} 8 & 3 \\
Externí odkaz:
http://arxiv.org/abs/2005.10769
Publikováno v:
In Advances in Mathematics 15 November 2023 433
Publikováno v:
IMRN, vol. 2020, issue 19, pp. 6463-6488
We establish an explicit isomorphism between the associated graded of the filtered chiral operad and the classical operad, which is useful for computing the cohomology of vertex algebras.
Comment: 18 pages. arXiv admin note: text overlap with ar
Comment: 18 pages. arXiv admin note: text overlap with ar
Externí odkaz:
http://arxiv.org/abs/1812.05972
Akademický článek
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Publikováno v:
Jpn. J. Math. 14, 249-342 (2019)
We translate the construction of the chiral operad by Beilinson and Drinfeld to the purely algebraic language of vertex algebras. Consequently, the general construction of a cohomology complex associated to a linear operad produces a vertex algebra c
Externí odkaz:
http://arxiv.org/abs/1806.08754