The Virasoro vertex algebra and factorization algebras on Riemann surfaces

نویسنده

  • Brian Williams
چکیده

2 Virasoro as a local Lie algebra on C 3 2.1 Dolbeault resolution of holomorphic vector fields . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 Lie algebra extensions and the cocycle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2.1 Extensions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2.2 A cocycle for LC . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Statements about cohomology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.4 Factorization algebras . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4.1 Prefactorization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.4.2 Factorization: gluing . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.5 (Twisted) Envelopes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8

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تاریخ انتشار 2015