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arXiv · 1701.07821

Gromov-Witten theory via Kuranishi structures

Mohammad Farajzadeh Tehrani·Kenji Fukaya
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Abstract

In this expository manuscript, we review the construction of Gromov-Witten virtual fundamental class via FOOO's theory of Kuranishi structures for moduli spaces of pseudo-holomorphic maps defined on closed Riemann surfaces. We consider constraints coming from the ambient space and Deligne-Mumford moduli, called primary insertions, as well as intrinsic classes such as $ψ$-classes and Hodge classes.

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Mohammad Farajzadeh Tehrani, Kenji Fukaya. 2017-01-26. Gromov-Witten theory via Kuranishi structures. https://arxiv.org/abs/1701.07821

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