Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces

Date

2004-01-01

Author

Finashin, Sergey

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We study the invariants of surfaces in 4-manifolds extracted from the Seiberg-Witten and the Ozsvath-Szabo invariants of their fiber sums with auxiliary Lefschetz fibrations. Such invariants involve relative Spin_c structures and can be treated as refinements of the usual Seiberg-Witten and Ozsvath-Szabo invariants. We prove for instance the adjunction inequality for membranes, which estimates their genus.

URI

http://arxiv.org/pdf/math/0401345v2
https://hdl.handle.net/11511/115341

Journal

arXiv

Collections

Department of Mathematics, Article

Citation Formats

S. Finashin, “Relative Seiberg-Witten and Ozsvath-Szabo 4-dimensional invariants with respect to embedded surfaces,” arXiv, no. No, pp. 1–18, 2004, Accessed: 00, 2025. [Online]. Available: http://arxiv.org/pdf/math/0401345v2.