Finite Group Action and Gromov-Witten Invariants in Symplectic Four-Manifolds

Let a finite group act semi-freely on a closed symplectic four-manifold with a 2-dimensional fixed point set. Then we show that the relative Gromov-Witten invariants are the same as the invariants on the quotient set-up with respect to the fixed point set.

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Veröffentlicht in:	Acta mathematica Sinica. English series 2010-12, Vol.26 (12), p.2325-2334
1. Verfasser:	Cho, Yong Seung
Format:	Artikel
Sprache:	eng
Schlagworte:	Invariants Mathematical analysis Mathematics Mathematics and Statistics Quotients Studies Topological manifolds Witten不变量不动点集半封闭有限群群作用
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Beschreibung
Zusammenfassung:	Let a finite group act semi-freely on a closed symplectic four-manifold with a 2-dimensional fixed point set. Then we show that the relative Gromov-Witten invariants are the same as the invariants on the quotient set-up with respect to the fixed point set.
ISSN:	1439-8516 1439-7617
DOI:	10.1007/s10114-010-8132-5