Anti-symplectic involutions with lagrangian fixed loci and their quotients
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- by Yong Seung Cho and Dosang Joe PDF
- Proc. Amer. Math. Soc. 130 (2002), 2797-2801 Request permission
Abstract:
We study the lagrangian embedding as a fixed point set of anti-symplectic involution $\tau$ on a symplectic 4-manifold $X$. Suppose the fixed loci of $\tau$ are the disjoint union of smooth Riemann surfaces $X^{\tau } =\dot \cup {\Sigma _i}$; then each component becomes a lagrangian submanifold. Furthermore, if one of the components is a Riemann surface of genus $g\ge 2$, then its quotient has vanishing Seiberg-Witten invariants. We will discuss some examples which allow an anti-symplectic involution with lagrangian fixed loci.References
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Additional Information
- Yong Seung Cho
- Affiliation: Department of Mathematics, Ewha Women’s University, Seoul 120-750, Korea
- Email: yescho@mm.ewha.ac.kr
- Dosang Joe
- Affiliation: Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784, Korea
- Email: joe@euclid.postech.ac.kr
- Received by editor(s): October 13, 1999
- Received by editor(s) in revised form: April 18, 2001
- Published electronically: February 4, 2002
- Additional Notes: The first author was supported in part by KOSEF grant #1999-2-101-002-5
The second author was supported in part by KOSEF grant #2000-2-10100-002-3
This work was supported in part by BK21 project - Communicated by: Ronald A. Fintushel
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2797-2801
- MSC (2000): Primary 57N13, 57N35, 57R57
- DOI: https://doi.org/10.1090/S0002-9939-02-06391-8
- MathSciNet review: 1900887