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

Finashin S.

arXiv, sa.No, ss.1-18, 2004 (Hakemsiz Dergi) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2004
  • Dergi Adı: arXiv
  • Sayfa Sayıları: ss.1-18
  • Orta Doğu Teknik Üniversitesi Adresli: Evet

Özet

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.