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arXiv · 1511.04350

Smoothness of Kuranishi atlases on Gromov-Witten moduli spaces

Robert Castellano
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Abstract

Kuranishi atlases were introduced by McDuff and Wehrheim to build a virtual fundamental class on moduli spaces of J-holomorphic curves and resolve some of the challenges in this field. This paper considers Gromov-Witten moduli spaces and shows they admit a smooth enough Kuranishi atlas to be able to define a Gromov-Witten virtual fundamental class in any virtual dimension. The key step for this result is the proof of a stronger gluing theorem.

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Robert Castellano. 2016-05-01. Smoothness of Kuranishi atlases on Gromov-Witten moduli spaces. https://arxiv.org/abs/1511.04350

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