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pro vyhledávání: '"Taubes, Clifford Henry"'
Autor:
Taubes, Clifford Henry
This paper constructs sequences of solutions to the Vafa-Witten equations with non-zero (but small) mass term on the product of a 2-dimensional torus with a Riemann surface of genus greater than 1. These are divergent sequences (modulo principle bund
Externí odkaz:
http://arxiv.org/abs/2409.14959
Autor:
Taubes, Clifford Henry
The Vafa-Witten equations (with or without a mass term) constitute a non-linear, first order system of differential equations on a given oriented, compact, Riemannian 4-manifold. Because these are the variational equations of a functional, the linear
Externí odkaz:
http://arxiv.org/abs/2401.13419
Autor:
Taubes, Clifford Henry, Wu, Yingying
This paper concerns the behavior of the eigenfunctions and eigenvalues of the round sphere's Laplacian acting on the space of sections of a real line bundle which is defined on the complement of an even numbers of points in $S^2$. Of particular inter
Externí odkaz:
http://arxiv.org/abs/2108.05017
Autor:
Taubes, Clifford Henry
A non-negative integer labeled set of model solutions to the $\mathbb{R}$-invariant Kapustin-Witten equations on $(0,\infty)\times \mathbb{R}^2\times \mathbb{R}$ plays a central role in Edward Witten's program to interpret the colored Jones polynomia
Externí odkaz:
http://arxiv.org/abs/2102.04290
Autor:
Taubes, Clifford Henry
This is a written version of lectures that I would have given myself about aspects of the differential operator that is obtained from the linearized Kapustin-Witten equations on the product of the half-line with a compact, oriented, Riemannian 3-mani
Externí odkaz:
http://arxiv.org/abs/2008.09538
Autor:
Taubes, Clifford Henry, Wu, Yingying
We use the symmetries of the tetrahedron, octahedron and icosahedron to construct local models for a $\mathbb{Z}/2$ harmonic 1-form or spinor in 3-dimensions near a singular point in its zero loci. The local models are $\mathbb{Z}/2$ harmonic 1-forms
Externí odkaz:
http://arxiv.org/abs/2001.00227
Autor:
Taubes, Clifford Henry
This paper supplies a new characterization of the Kapustin Witten equation solutions on $(0,\infty) \times \mathbb{R}^2 \times \mathbb{R}$ that play a key role in Edward Witten's program to obtain the Jones polynomial knot invariants using solutions
Externí odkaz:
http://arxiv.org/abs/1903.03539
Autor:
Taubes, Clifford Henry
This paper describes the behavior of sequences of solutions to the Kapustin-Witten equations with Nahm pole asymptotics on the product of the half-line with a compact, oriented, Riemannian 3-manifold. These sequences have sub-sequences that either co
Externí odkaz:
http://arxiv.org/abs/1805.02773
Autor:
Taubes, Clifford Henry
This note corrects an erroneous statement in Lemma 3.8 of the author's paper Embedded Contact Homology and Seiberg-Witten Floer Homology IV which was published in Volume 14 of Geometry and Topology in 2009.
Comment: Correction to a published art
Comment: Correction to a published art
Externí odkaz:
http://arxiv.org/abs/1801.07556