Geometry Seminar
Speaker: Mario García Fernández (ICMAT)
Title: Canonical generalized Kähler structures and the elliptic genus.
Date: 29/4/2025
Time: 15:00
Web: http://mat.uab.cat/
Abstract: We propose a natural notion of elliptic genus for generalized Kähler manifolds, following work by Heluani and Zabzine on this problem. Our construction requires that the generalized Kähler structure is "canonical", in a precise sense, covering an important class of compact non-Kähler examples, such as compact even dimensional Lie groups. The key technical step is the construction of commuting pairs of the N = 2 superconformal vertex algebra in the chiral de Rham complex of the manifold, endowed with a canonical generalized Kähler structure. Joint work with Andoni de Arriba de la Hera, Luis Alvarez-Consul, and Jethro van Ekeren.