University of Birmingham > Talks@bham > Geometry and Mathematical Physics seminar > Katz invariants and spectral curve construction

Katz invariants and spectral curve construction

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If you have a question about this talk, please contact Andrea Brini.

Using a technique inspired by Hitchin’s spectral curve construction, we study a version of Donaldson-Thomas invariants which Katz has proposed as a mathematical definition of genus 0 GV invariants. In particular, we are interested in understanding the relation between Katz invariants and genus 0 GW invariants. We will see that, in the reduced class case, the above mentioned technique will allow us to express the local contributions to the invariants of a fixed curve in terms of maps from curves homeomorphic to genus 0 ones.

The above result leads to the desired answer in the case of curves with ordinary m-fold points as singularities; we will conclude suggesting a way adjust the technique in order to understand the genus 0 GW/GV correspondence for more general curves.

This talk is part of the Geometry and Mathematical Physics seminar series.

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