Topology of Smooth Maps of Homogeneous Spaces and Exotic Spheres

• Grant number: 12/25409-6
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: March 01, 2013
• End date: February 28, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luiz Antonio Barrera San Martin
• Grantee: Llohann Dallagnol Sperança
• Host Institution: Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil

Abstract

The project aims to study the geometry and topology of exotic spheres, homogeneous spaces and its diffeomorphisms. It has, as a main tool, the constructions introduced and studied in the candidate Ph.D., which suggest a relation between special types of diffeomorfisms on spheres with diffeomorphisms on homogeneous spaces. Furthermore, the candidate will continue his work on the geometry of such objects.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DURAN, C.; SPERANCA, L. D.. Rigidity of flat sections on non-negatively curved pullback submersions. MANUSCRIPTA MATHEMATICA, v. 147, n. 3-4, p. 511-525, JUL 2015. (12/25409-6, 09/07953-8)

SPERANCA, L. D.. PULLING BACK THE GROMOLL-MEYER CONSTRUCTION AND MODELS OF EXOTIC SPHERES. Proceedings of the American Mathematical Society, v. 144, n. 7, p. 3181-3196, JUL 2016. (09/07953-8, 12/25409-6)

CAVENAGHI, LEONARDO F.; SPERANCA, LLOHANN D.. On the Geometry of Some Equivariantly Related Manifolds. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, v. 2020, n. 23, p. 9730-9768, NOV 2020. (09/07953-8, 17/10892-7, 12/25409-6)