Seiberg-Witten invariants for manifolds with $b_+=1$, and the universal wall crossing formula

Recent Developments in Seiberg-Witten Theory and Complex Geometry

Recent developments in Seiberg-Witten theory and relations with Complex Geometry.

Donaldson不变量沿Seiberg-Witten类的局部化

Localisation of the Donaldson's invariants along Seiberg-Witten classes

本文是建立光滑4-流形的唐纳森多项式和Seiberg-Witten不变量之间联系的第一步。

PU(2) monopoles. II: Top-level Seiberg-Witten moduli spaces and Witten's conjecture in low degrees

In this article we complete the proof---for a broad class of four-manifolds---of Witten's conjecture that the Donaldson and Seiberg-Witten series coincide, at least through terms of degree less than or equal to c-2, where c is a linear combination of the Euler characteristic and signature of the four-manifold. This article is a revision of sections 4--7 of an earlier version, while a revision of sections 1--3 of that earlier version now appear in a separate companion article (math.DG/0007190). Here, we use our computations of Chern classes for the virtual normal bundles for the Seiberg-Witten …

Seiberg-Witten invariants for manifolds with $b_+=1$

In this paper we describe the Seiberg-Witten invariants, which have been introduced by Witten, for manifolds with $b_+=1$. In this case the invariants depend on a chamber structure, and there exists a universal wall crossing formula. We take into account the contribution of the 1-homology of the base-manifold. For every Kähler surface with $p_g=0$ and $q$=0, these invariants are non-trivial for all $Spin^c(4)$-structures of non-negative index.

Bott-type and equivariant Seiberg-Witten Floer homology I

We construct Bott-type and stable equivariant Seiberg-Witten Floer homology and cohomology for rational homology spheres, and prove their diffeomorphism invariance.

Seiberg-Witten不变量讲座

Lectures on Seiberg-Witten Invariants

这是另一个关于赛伯格-威滕不变量的讲义，其中没有提出原创性的要求，它们包含了对最近文献中一些相关结果的讨论。