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The log-local-open Correspondence

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

I will talk about a correspondence between so called logarithmic, local, and open Gromov—Witten invariants. Even though these three types of invariants are all curve counts they all have a very different flavour. However, it turns out that starting from a pair (X,D) where X is a smooth complex projective surface and D an anti-canonical divisor satisfying certain positivity conditions one can construct three different geometries for which the above mentioned GW counts are related by explicit formulae.

This talk is part of the Isaac Newton Institute Seminar Series series.

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