THE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS

@article{Taubes1994THESI,
  title={THE SEIBERG-WITTEN INVARIANTS AND SYMPLECTIC FORMS},
  author={C. Taubes},
  journal={Mathematical Research Letters},
  year={1994},
  volume={1},
  pages={809-822}
}
  • C. Taubes
  • Published 1994
  • Mathematics
  • Mathematical Research Letters
(Note: There are no symplectic forms on X unless b and the first Betti number of X have opposite parity.) In a subsequent article with joint authors, a vanishing theorem will be proved for the Seiberg-Witten invariants of a manifold X, as in the theorem, which can be split by an embedded 3-sphere as X−∪X+ where neither X− nor X+ have negative definite intersection forms. Thus, no such manifold admits a symplectic form. That is, 

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