AbstractsMathematics

Gromov-Witten theory and spectral curve topological recursion

by P. Dunin-Barkovskiy




Institution: Universiteit van Amsterdam
Department:
Year: 2015
Record ID: 1254594
Full text PDF: http://hdl.handle.net/11245/1.474593


Abstract

Gromov-Witten theory and spectral curve topological recursion are important parts of modern algebraic geometry and mathematical physics. In my thesis I study relations between these theories and some important new aspects and applications of them. In particular, a construction for a local spectral curve which produces the same invariants as a given Gromov-Witten theory is presented in the thesis, as well as constructions for quantum spectral curves for several important theories, and a new proof of the so-called ELSV formula.