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Immersed spheres in 4-manifolds and the immersed Thom conjecture

Ronald Fintushel, +1 more
- 01 Jan 1995 - 
- Vol. 19, Iss: 2, pp 145-157
About: 
This article is published in Turkish Journal of Mathematics.The article was published on 1995-01-01 and is currently open access. It has received 183 citations till now. The article focuses on the topics: Thom conjecture.

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Absolutely graded Floer homologies and intersection forms for four-manifolds with boundary

Peter Ozsvath, +1 more
- 10 Feb 2003 - 
TL;DR: In this article, Ozsvath and Szabo introduced absolute gradings on the three-manifold invariants developed in Ozvath and Zabo (Holomorphic disks and topological invariants for closed threemanifolds, math.SG/0101206, Ann. of Math.
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SW ⇒ Gr: From the Seiberg-Witten equations to pseudo-holomorphic curves

Clifford Henry Taubes
- 01 Jan 1996 - 
TL;DR: Theorem 4.3 as discussed by the authors is an existence theorem for pseudo-holomorphic curves in a 4-manifold with respect to the Seiberg-Witten invariants.
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Absolutely Graded Floer homologies and intersection forms for four-manifolds with boundary

Peter Ozsvath, +1 more
- 16 Oct 2001 - 
TL;DR: In this paper, an absolute grading on the three-manifold invariants developed in math.SG/0101206 and Math.SG-0105202 was introduced, which was used to obtain a number of three-and four-dimensional applications.
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Knots, links, and 4-manifolds

Ronald Fintushel, +1 more
- 16 Oct 1998 - 
TL;DR: In this paper, the authors investigated the relationship between isotopy classes of knots and links in S and the di€eomorphism types of homeomorphic smooth 4-manifolds.
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Holomorphic triangles and invariants for smooth four-manifolds

Peter Ozsvath, +1 more
- 01 Jun 2006 - 
TL;DR: In this paper, the authors introduced invariants for closed, oriented three-manifolds, defined using a variant of Lagrangian Floer homology in the symmetric products of Riemann surfaces.
References
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Electric - magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory

Nathan Seiberg, +2 more
- 05 Sep 1994 - 
TL;DR: In this article, the authors studied the vacuum structure and spectrum of N = 2 supersymmetric gauge theory in four dimensions, with gauge group SU(2), and obtained exact formulas for electron and dyon masses and the metric on the moduli space of vacua.
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Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD

Nathan Seiberg, +2 more
- 12 Dec 1994 - 
TL;DR: In this article, the authors studied four dimensional N = 2 supersymmetric gauge theories with matter multiplets and derived the exact metric on the moduli space of quantum vacua and the exact spectrum of the stable massive states.
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The seiberg-witten invariants and symplectic forms

Clifford Henry Taubes
- 01 Jan 1994 - 
TL;DR: In this article, a vanishing theorem for the Seiberg-Witten invariants of a manifold X was proved, which implies that no such manifold admits a symplectic form unless b and first Betti number of X have opposite parity.
Journal ArticleDOI

The Genus of Embedded Surfaces in the Projective Plane

Peter Kronheimer, +1 more
- 01 Jan 1994 - 
TL;DR: In this article, it was shown that the genus of a smooth 2-manifold can be characterized by the formula g = (d − 1)(d − 2)/2.
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Rational blowdowns of smooth 4-manifolds

Ronald Fintushel, +1 more
- 01 Jan 1997 - 
TL;DR: In this article, a rational blowdown procedure for a smooth 4-manifold X is proposed and the authors determine how this procedure affects both the Donaldson and Seiberg-Witten invariants of X.