activity
19982005
most citedDouble node neighborhoods and families of simply connected 4-manifolds with b^+=1

2 citations · 4 across the 3 of their papers we have counts for

collaborators

7 papers

math.GT20052 cited

Double node neighborhoods and families of simply connected 4-manifolds with b^+=1

Ronald Fintushel, Ronald J. Stern

We introduce a new technique that is used to show that the complex projective plane blown up at 6, 7, or 8 points has infinitely many distinct smooth structures. None of these smoo…

math.SG2003

Tori in symplectic 4-manifolds

Ronald Fintushel, Ronald J Stern

We study the question of how many embedded symplectic or Lagrangian tori can represent the same homology class in a simply connected symplectic 4-manifold.

math.GT20022 cited

Families of Simply Connected 4-Manifolds with the Same Seiberg-Witten Invariants

Ronald Fintushel, Ronald J. Stern

This article presents the constructions of new infinite families of smooth 4-manifolds with the property that any two manifolds in the same family are homeomorphic and, from their…

math.GT1999

Nonsymplectic 4-Manifolds with One Basic Class

Ronald Fintushel, Ronald J. Stern

It is the purpose of this paper to construct families of examples of nonsymplectic 4-manifolds which (up to sign) have just one Seiberg-Witten basic class.

math.GT1999

Constructions of Smooth 4-Manifolds

Ronald Fintushel, Ronald J. Stern

We describe a collection of constructions which illustrate a panoply of ``exotic'' smooth 4-manifolds.

math.SG1999

Symplectic surfaces in a fixed homology class

Ronald Fintushel, Ronald J. Stern

The purpose of this paper is to investigate the following problem: For a fixed 2-dimensional homology class K in a simply connected symplectic 4-manifold, up to smooth isotopy, how…