Gromov-Witten theory and spectral curve topological recursion
Institution: | Universiteit van Amsterdam |
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Department: | |
Year: | 2015 |
Record ID: | 1254594 |
Full text PDF: | http://hdl.handle.net/11245/1.474593 |
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.