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arXiv · 1704.01848

Kuranishi structure, Pseudo-holomorphic curve, and virtual fundamental chain: Part 2

Kenji Fukaya·Yong-Geun Oh·Hiroshi Ohta·Kaoru Ono
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Abstract

This article is the second part of the article we promised to write at the end of Section 1 of [FOOO15] (arXiv:1209.4410). (Part I appeared in [Part I] (arXiv:1503.07631).) We discuss the foundation of the virtual fundamental chain and cycle technique, especially its version that appeared in [FOn] and also in Section A1, Section 7.5 [FOOO4], Section 12 [FOOO7], [Fu2]. This article is independent of our earlier writing [FOOO15]. We also do not assume that the readers have any knowledge on the pseudo-holomorphic curve. In this second part, we consider a system of spaces with Kuranishi structures (abbreviated as a K-system) and its simultaneous perturbations.

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Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, Kaoru Ono. 2017-04-06. Kuranishi structure, Pseudo-holomorphic curve, and virtual fundamental chain: Part 2. https://arxiv.org/abs/1704.01848

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