arXiv subjects

Imma Gálvez

Publications and source records attributed to Imma Gálvez.

2 recordsLinked to original sources

arXiv2015

The Berkovits Complex and Semi-free Extensions of Koszul Algebras

In his extension of W. Siegel's ideas on string quantization, N. Berkovits made several observations which deserve further study and development. Indeed, interesting accounts of this work have already appeared in the mathematical literature and in a different guise due to Avramov. In this paper we bridge between these three approaches, by providing a complex that is useful in the calculation of some homologies.

math.AC↗

arXiv2008

Homotopy Gerstenhaber Structures and Vertex Algebras

We provide a simple construction of a Gerstenhaber-infinity algebra structure on a class of vertex algebras V, which lifts the strict Gerstenhaber algebra structure on BRST cohomology of V introduced by Lian and Zuckerman. We outline two applications: the construction of a sheaf of Gerstenhaber-infinity algebras on a Calabi-Yau manifold extending the multiplication and bracket of functions and vector fields, and of a Lie-infinity structure related to the bracket of Courant.

math.QA↗