[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.3.431

REMARKS ON HIGHER TYPE ADJUNCTION INEQUALITIES OF 4-MANIFOLDS OF NON-SIMPLE TYPE

Kim, Jin-Hong (DEPARTMENT OF MATHEMATICS, KAIST)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.3, 2002 , pp. 431-440 More about this Journal

Abstract

Recently P. Ozsv $$\$ th Z. Szab $$\$ proved higher type adjunction inequalities for embedded surfaces in 4-manifolds of non-simple type. The aim of this short paper is to give a simple and direct proof of such higher type adjunction inequalities for smoothly embedded surfaces with negative self-intersection number in smooth 4-manifolds of non-simple type. This will be achieved through a relation between the Seiberg-Witten invariants used to get adjunction inequalities of 4-manifolds of simple type and a blow-up formula.

Keywords

4-manifolds; non-simple type; higher type adjunction inequalities; Seiberg-Witten invariants;

Citations & Related Records

Reference

1	A product formula for Seiberg-Witten invariants and the generalized Thom conjecture / [ J. Morgan;Z. <TEX>$Szab\'{o}$</TEX> ] / J. Diff. Geo. DOI
2	Higher type adjunction inequalities in Seiberg-Witten theory / [ P. <TEX>$Ozsv\'{a}th$</TEX>;Z. <TEX>$Szab\'{o}$</TEX> ] / J. Diff. Geo. DOI
3	Immersed shperes in 4-manifold and the immersed Thom conjecture / [ R. Fintushel;R. Stern ] / Turkish J. Math.
4	Monopoles and four-manifolds / [ E. Witten ] / Math. Res. Lett. DOI
5	The Genus of embedded surfaces in the projective plane / [ P. Kronheimer;T. Mrowka ] / Math. Res. Lett. DOI
6	The symjplectic Thjom conjecture / [ P. <TEX>$Ozsv\'{a}th$</TEX>;Z. <TEX>$Szab\'{o}$</TEX> ] / Ann. Math. DOI