Symmetries of multiplicative Courant algebroids

• Grant number: 22/06205-2
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2023
• End date: February 28, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Cristián Andrés Ortiz González
• Grantee: Clarice de Souza Ferreira Netto
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil

Abstract

In this project we are concerned with symmetries of multiplicative Courant algebroids, also known as CA-groupoids. Motivated by recent results of Ortiz-Waldron on the category of multiplicative sections of both VB-groupoids and LA-groupoids, we study the underlying algebraic structure on the category of multiplicative sections of a CA-groupoid and its Morita invariance. We also investigate the multiplicative version of the reduction scheme of Courant algebroids due to Bursztyn-Cavalcanti-Gualtieri as well as the corresponding reduction of multiplicative Manin pairs by the action of a Lie 2-group.

Scientific publications

(The scientific publications listed on this page originate from the Web of Science or SciELO databases. Their authors have cited FAPESP grant or fellowship project numbers awarded to Principal Investigators or Fellowship Recipients, whether or not they are among the authors. This information is collected automatically and retrieved directly from those bibliometric databases.)

BURSZTYN, HENRIQUE; DRUMMOND, THIAGO; NETTO, CLARICE. Courant-Nijenhuis algebroids. JOURNAL OF GEOMETRY AND PHYSICS, v. 192, p. 19-pg., 2023-10-01. (22/06205-2)