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[PDF] Top 20 The Seiberg-Witten equations on 3-manifolds with boundary

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The Seiberg-Witten equations on 3-manifolds with boundary

The Seiberg-Witten equations on 3-manifolds with boundary

... We define a family of admissible perturbations and show, for a generic perturbation, the moduli space is a compact , smooth manifo l d of half the dimension of moduli[r] ... See full document

110

Boundary value problems for thend-order Seiberg-Witten equations

Boundary value problems for thend-order Seiberg-Witten equations

... nonempty boundary. In our context, the Seiberg-Witten equations are the 2nd-order Euler-Lagrange equation of the functional defined in Definition ...the boundary is empty, their ... See full document

19

On the treewidth of triangulated 3-manifolds

On the treewidth of triangulated 3-manifolds

... a 3-manifold into compression bodies following a graph structure ...lower boundary components of a com- pression body to be glued to lower boundary components of distinct compression ...top ... See full document

29

Geometry of random 3-manifolds

Geometry of random 3-manifolds

... The boundary ∂Q consists of to- tally geodesic hyperbolic three punctured spheres that are paired according to ...hyperbolic 3-manifold diffeomorphic ... See full document

133

Minimal entropy of 3-manifolds

Minimal entropy of 3-manifolds

... closed 3-manifolds having at leat a hyperbolic piece in their JSJ decomposition are either of hyperbolic type or homeomorphic to K ˜×I, as D 2 ×S 1 and T 2 ×I cannot appear as J SJ components of closed, ... See full document

96

CiteSeerX — The Seiberg-Witten equations and 4–manifold topology

CiteSeerX — The Seiberg-Witten equations and 4–manifold topology

... THE SEIBERG-WITTEN EQUATIONS AND 4-MANIFOLD TOPOLOGY ...instanton equations, has permeated research in 4-manifold ...differential equations had an unexpected and unorthodox flavour, but ... See full document

26

CiteSeerX — Generalized Seiberg–Witten equations and hyperKähler geometry

CiteSeerX — Generalized Seiberg–Witten equations and hyperKähler geometry

... the SeibergWitten moduli space associated to the generalized SeibergWitten equations is compact provided M admits a permuting H ∗ action or, equivalently, a hyperK¨ ahler ...ahler ... See full document

92

The relation between Maxwell, Dirac, and the Seiberg Witten equations

The relation between Maxwell, Dirac, and the Seiberg Witten equations

... field equations that have the form of the generalized Maxwell ...famous Seiberg-Witten equations on Minkowski ...those equations is ... See full document

28

Seiberg-Witten Theory

Seiberg-Witten Theory

... So the effective Lagrangian, which only describes the remaining massless fields, is still N=2 massless supersymmetric, and has gauge transformations based on U(1), which is Abelian. Then the only remaining degree of ... See full document

114

CiteSeerX — Perturbations of the metric in Seiberg-Witten equations Luca Scala

CiteSeerX — Perturbations of the metric in Seiberg-Witten equations Luca Scala

... Proof. By (4.3) the cokernel of the differential D (A,ψ,ξ) (F Met(M) ) 2,r p coincides with the kernel of the formal adjoint of the differential D (A,ψ,ξ) F Met(M) on sections of class C ∞ . The equations (4.7) of ... See full document

24

Defects and quantum Seiberg-Witten geometry.

Defects and quantum Seiberg-Witten geometry.

... with boundary, the S transformation should be carefully ...relevant boundary degrees of freedom such that the flavor anomaly of the 2d theory compensates the gauge anomaly on the ... See full document

80

CiteSeerX — SEIBERG-WITTEN FLOER HOMOLOGY AND

CiteSeerX — SEIBERG-WITTEN FLOER HOMOLOGY AND

... the equations in ...the Seiberg- Witten Floer homology groups given by adapting what is done in [T4] may result in the following situation: As t increases from 0, these identifications results at t = ... See full document

28

The Kapustin Witten Equations with Singular Boundary Conditions

The Kapustin Witten Equations with Singular Boundary Conditions

... Kapustin-Witten equations, including the Kuranishi complex and some examples of the Nahm pole ...Section 3, we introduce a gauge fixing condition and the elliptic system associated to the ... See full document

192

CiteSeerX — Donaldson and Seiberg-Witten invariants of algebraic surfaces

CiteSeerX — Donaldson and Seiberg-Witten invariants of algebraic surfaces

... 2. 3. Definition of the Seiberg-Witten invariants One basic motivation which led to the definition of the Seiberg-Witten invariants was the attempt to find an a priori description of ... See full document

16

Mod 2 Seiberg-Witten invariants of real algebraic surfaces with the opposite orientation

Mod 2 Seiberg-Witten invariants of real algebraic surfaces with the opposite orientation

... the Seiberg-Witten invariants of closed smooth ...the Seiberg-Witten invariants as a certain equivariant degree of a map constructed from the Seiberg-Witten ...the ... See full document

14

Slow manifolds and invariant sets of the primitive equations.

Slow manifolds and invariant sets of the primitive equations.

... For boundary conditions, we assume periodicity in the horizontal directions and free-slip › z v 5 0, w 5 0, and b 5 0, at the bottom and ...These boundary conditions are not needed for the regularity of the ... See full document

9

Mathematical Research Letters 2, 9 13 (1995) MORE CONSTRAINTS ON SYMPLECTIC FORMS FROM SEIBERG-WITTEN INVARIANTS. Clifford Henry Taubes

Mathematical Research Letters 2, 9 13 (1995) MORE CONSTRAINTS ON SYMPLECTIC FORMS FROM SEIBERG-WITTEN INVARIANTS. Clifford Henry Taubes

... Using the Seiberg-Witten equations, I proved in [T] the following: Theorem 1. Let X be a compact, oriented, 4 dimensional manifold with b 2+ ≥ 2. Let ω be a symplectic form on X with ω∧ω giving the ... See full document

5

4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations

4-Manifolds With Inequivalent Symplectic Forms and 3-Manifolds With Inequivalent Fibrations

... The SeibergWitten norm manifests the rigidity of the smooth structure on X, allowing us to check that the Chern classes c 1 (ω 1 ), c 1 (ω 2 ) lie in different orbits of ...the 3-torus we can write ... See full document

22

Gluing manifolds with boundary and bordisms of positive scalar curvature metrics

Gluing manifolds with boundary and bordisms of positive scalar curvature metrics

... APPENDIX GEOMETRIC ANALYSIS BACKGROUND Let us first describe the structure of this Appendix. In Section A.1, we state the basic regularity facts for solutions of elliptic equations both with and without ... See full document

141

SU(2) Seiberg-Witten Theory with One Flavour

SU(2) Seiberg-Witten Theory with One Flavour

... M 2 = X −1 M 1 X , M 3 = X −2 M 1 X 2 . (41) A solution to this monodramy problem is given by M 1 = ST S −1 , X = T . (42) We see that M 1 ≡ M + , thus in the large µ regime the local physics around two of the ... See full document

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