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A topological view of Gromov-Witten theory

D. Maulik·R. Pandharipande
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Abstract

We study relative Gromov-Witten theory via universal relations provided by the interaction of degeneration and localization. We find relative Gromov-Witten theory is completely determined by absolute Gromov-Witten theory. The relationship between the relative and absolute theories is guided by a strong analogy to classical topology. As an outcome, we present a mathematical determination of the Gromov-Witten invariants (in all genera) of the Calabi-Yau quintic 3-fold in terms of known theories.

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D. Maulik, R. Pandharipande. 2005-05-12. A topological view of Gromov-Witten theory. https://arxiv.org/abs/math/0412503

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