Generalized instanton bundles on smooth projective varieties
Moduli spaces of pfaffian representations of cubic three-folds and instanton bundles
| Grant number: | 17/20007-0 |
| Support Opportunities: | Regular Research Grants |
| Start date: | February 01, 2018 |
| End date: | January 31, 2020 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Henrique Nogueira de Sá Earp |
| Grantee: | Henrique Nogueira de Sá Earp |
| Host Institution: | Instituto de Matemática, Estatística e Computação Científica (IMECC). Universidade Estadual de Campinas (UNICAMP). Campinas , SP, Brazil |
Abstract
The applicant will study a number of problems in the context of gauge theory in dimensions higher than 4 and the construction of special geometric structures and submanifolds. In particular, one shall address certain advances towards an analogous to Donaldson-Thomas theory for moduli spaces of generalised instantons over G2-manifolds, and the characterisation of G2-structures with 'little torsion' as harmonic sections of a 'universal bundle'. Such topics are relevant in the classification of manifolds in dimensions 6,7,8, as well as in the physics of superstrings/M-theory. (AU)
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