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A symplectic manifold homeomorphic but not diffeomorphic to CP2#3CP2

- S. Baldridge, P. Kirk
- Mathematics
- 8 February 2007

In this paper we construct a minimal symplectic 4-manifold and prove it is homeomorphic but not diffeomorphic to CP^2 # 3(-CP^2)

Constructions of small symplectic 4-manifolds using Luttinger surgery

- S. Baldridge, P. Kirk
- Mathematics
- 2 March 2007

In this article we use the technique of Luttinger surgery to produce small examples of simply connected and non-simply connected minimal symplectic 4-manifolds. In particular, we construct: (1) An… Expand

Seiberg-Witten invariants, orbifolds, and circle actions

- S. Baldridge
- Mathematics
- 12 July 2001

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 conditions the… Expand

Simply connected minimal symplectic 4-manifolds with signature less than --1

- A. Akhmedov, S. Baldridge, R. I. Baykur, P. Kirk, B. Park
- Mathematics
- 6 May 2007

For each pair $(e,\sigma)$ of integers satisfying $2e+3\sigma\ge 0$, $\sigma\leq -2$, and $e+\sigma\equiv 0\pmod{4}$, with four exceptions, we construct a minimal, simply connected symplectic… Expand

SEIBERG–WITTEN INVARIANTS OF 4-MANIFOLDS WITH FREE CIRCLE ACTIONS

- S. Baldridge
- Mathematics
- 9 November 1999

The main results of this paper describes a formula for the Seiberg–Witten invariant of a 4-manifold which admits a nontrivial free circle action. We use this theorem to produce a nonsymplectic… Expand

Elementary Mathematics for Teachers

- Thomas H. Parker, S. Baldridge
- Psychology
- 2004

Symplectic 4-manifolds with arbitrary fundamental group near the Bogomolov--Miyaoka--Yau line

- S. Baldridge, P. Kirk
- Mathematics
- 27 July 2005

In this paper we construct a family of symplectic 4--manifolds with positive signature for any given fundamental group $G$ that approaches the BMY line. The family is used to show that one cannot… Expand

Cube diagrams and a homology theory for knots

- S. Baldridge, Adam M. Lowrance
- Mathematics
- 3 November 2008

In this paper we introduce a representation of knots and links called a cube diagram. We show that a property of a cube diagram is a link invariant if and only if the property is invariant under two… Expand

Seiberg--Witten vanishing theorem for S1-manifolds with fixed points

- S. Baldridge
- Mathematics
- 7 January 2002

We show that the Seiberg-Witten invariant is zero for all smooth 4-manifolds with b + >1 that admit circle actions having at least one fixed point. We also show that all symplectic 4-manifolds that… Expand

On symplectic 4-manifolds with prescribed fundamental group

- S. Baldridge, P. Kirk
- Mathematics
- 17 April 2005

In this article we study the problem of minimizing a? + bs on the class of all symplectic 4-manifolds with prescribed fundamental group G (? is the Euler characteristic, s is the signature, and a,?b… Expand

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