Genus zero Gromov-Witten axioms via Kuranishi atlases

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Castellano, Robert;
  • Subject: Mathematics - Symplectic Geometry | 53D45, 53D05, 57R17
    arxiv: Mathematics::Algebraic Geometry | Mathematics::Complex Variables | Mathematics::Symplectic Geometry

A Kuranishi atlas is a structure used to build a virtual fundamental class on moduli spaces of $J$-holomorphic curves. They were introduced by McDuff and Wehrheim to resolve some of the challenges in this field. This paper completes the construction of genus zero Gromov... View more
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    (ii) Denote by π0,k : M0,k → M0,k−1 the map which forgets the last marked point. Then βk,I = P D(π0∗,kP D(βk−1,I )) when k ∈/ I. Moreover,

    [FOOO09] Kenji Fukaya, Yong-Geun Oh, Hiroshi Ohta, and Kaoru Ono, Lagrangian intersection theory, anomaly and obstruction, parts I and II, AMS/IP Studies in Advanced Mathematics, Providence, RI and Somerville, MA, 2009.

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