WebElliptic Chiral Homology and Quantum Master Equation Si Li YMSC, Tsinghua University BU-Keio-Tsinghua Workship 2024..... Motivation Given a deformation quantization Aℏ(M) … WebAbstract: We study the chiral homology of elliptic curves with coefficients in a qua-siconformal vertex algebra V. Our main result expresses the nodal curve limit of the first chiral homology group in terms of the Hochschild homology of the Zhu algebra of V. A technical result of independent interest regarding the relationship between the
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WebSep 7, 2011 · We extend the theory of chiral and factorization algebras, developed for curves by Beilinson and Drinfeld (American Mathematical Society Colloquium Publications, 51. American Mathematical Society, Providence, RI, 2004), to higher-dimensional varieties. This extension entails the development of the homotopy theory of chiral and … WebWe construct a trace map on the elliptic chiral homology of the free \beta\gamma-bc system using the BV quantization framework. As an example, we compute the trace evaluated on the unit constant chiral chain and obtain the formal Witten genus in the Lie algebra cohomology. This talk is based on joint work with Si Li. Feb 4: Feb 11: Chris … sonic adventure dx sonic chao
Factorization Homology in \(3\) -Dimensional Topology - Springer
Web1.1 Motivation. In the celebrated paper (see [Reference Tamarkin and Tsygan 10]), the authors construct a sheaf of differential graded vertex algebras on any smooth $\mathbf {C}$ -variety, M, referred to as the chiral de Rham complex.This promotes the classical de Rham complex to a richer object of vertex theoretic nature, and this process of promotion is … WebElliptic Chiral Homology and Quantum Master Equation Si Li YMSC, Tsinghua University BU-Keio-Tsinghua Workship 2024..... Motivation Given a deformation quantization Aℏ(M) = (C∞(M)[[ℏ]],⋆ ... Chiral de Rham complex Costello: … WebBy proving that several new complexes of embedded disks are highly connected, we obtain several new homological stability results. Our main result is homological stability for topological chiral homology on an open man… sonic adventure egg walker