7 citations · 7 across the 3 of their papers we have counts for
6 papers · 1 filter
Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov-Miyaoka-Yau line
Scott Baldridge, Paul Kirk
In this paper we construct a family of symplectic 4--manifolds with positive signature for any given fundamental group that approaches the BMY line. The family is used to show…
On symplectic 4-manifolds with prescribed fundamental group
Scott Baldridge, Paul Kirk
In this article we study the problem of minimizing on the class of all symplectic 4--manifolds with prescribed fundamental group ( is the Euler characteristic, i…
New symplectic 4--manifolds with
Scott Baldridge
Symplectic 4-manifolds with are roughly classified by the canonical class and the symplectic form depending upon the sign of and . Example…
Seiberg-Witten vanishing theorem for -manifolds with fixed points
Scott Baldridge
In this paper we show that the Seiberg--Witten invariant is zero for all smooth 4--manifolds with which admit circle actions that have at least one fixed point. Furthermo…
Seiberg-Witten invariants, orbifolds, and circle actions
Scott Baldridge
The main result of this paper is a formula for calculating the Seiberg-Witten invariants of 4-manifolds with fixed-point free circle actions. This is done by showing under suitable…
Seiberg-Witten invariants of 4-manifolds with free circle actions
Scott Baldridge
The main results of this paper describes a formula for the Seiberg-Witten invariant of a 4-manifold which admits a nontrivial free S^1-action. We use this theorem to produce a nons…