A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.
Previous Page 2
Displaying 21 – 38 of 38
A twisted dimer model for knots
Moshe Cohen, Oliver T. Dasbach, Heather M. Russell (2014)
Fundamenta Mathematicae
We develop a dimer model for the Alexander polynomial of a knot. This recovers Kauffman's state sum model for the Alexander polynomial using the language of dimers. By providing some additional structure we are able to extend this model to give a state sum formula for the twisted Alexander polynomial of a knot depending on a representation of the knot group.
A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
Stefan Friedl, Stefano Vidussi (2013)
Journal of the European Mathematical Society
In this paper we show that given any 3-manifold and any non-fibered class in there exists a representation such that the corresponding twisted Alexander polynomial is zero. We obtain this result by extending earlier work of ours and by combining this with recent results of Agol and Wise on separability of 3-manifold groups. This result allows us to completely classify symplectic 4-manifolds with a free circle action, and to determine their symplectic cones.
A volume form on the SU(2)-representation space of knot groups.
Dubois, Jérôme (2006)
Algebraic & Geometric Topology
Adequacy of Link Families
Slavik Jablan, Ljiljana Radović, Radmila Sazdanović (2010)
Publications de l'Institut Mathématique
Alexander polynomial and Koszul resolution.
Rosso, Marc (1999)
AMA. Algebra Montpellier Announcements [electronic only]
Alexander polynomial, finite type invariants and volume of hyperbolic knots.
Kalfagianni, Efstratia (2004)
Algebraic & Geometric Topology
Algebraic linking numbers of knots in 3-manifolds.
Schneiderman, Rob (2003)
Algebraic & Geometric Topology
All roots of unity are detected by the A-polynomial.
Chesebro, Eric (2005)
Algebraic & Geometric Topology
Almost integral TQFTs from simple Lie algebras.
Chen, Qi, Le, Thang (2005)
Algebraic & Geometric Topology
An almost-integral universal Vassiliev invariant of knots.
Willerton, Simon (2002)
Algebraic & Geometric Topology
An infinite torus braid yields a categorified Jones-Wenzl projector
Lev Rozansky (2014)
Fundamenta Mathematicae
A sequence of Temperley-Lieb algebra elements corresponding to torus braids with growing twisting numbers converges to the Jones-Wenzl projector. We show that a sequence of categorification complexes of these braids also has a limit which may serve as a categorification of the Jones-Wenzl projector.
An introduction to the abelian Reidemeister torsion of three-dimensional manifolds
Gwénaël Massuyeau (2011)
Annales mathématiques Blaise Pascal
These notes accompany some lectures given at the autumn school “Tresses in Pau” in October 2009. The abelian Reidemeister torsion for -manifolds, and its refinements by Turaev, are introduced. Some applications, including relations between the Reidemeister torsion and other classical invariants, are surveyed.
An invariant of tangle cobordisms via subquotients of arc rings
Yanfeng Chen, Mikhail Khovanov (2014)
Fundamenta Mathematicae
We construct an explicit categorification of the action of tangles on tensor powers of the fundamental representation of quantum sl(2).
An operator invariant for handlebody-knots
Kai Ishihara, Atsushi Ishii (2012)
Fundamenta Mathematicae
A handlebody-knot is a handlebody embedded in the 3-sphere. We improve Luo's result about markings on a surface, and show that an IH-move is sufficient to investigate handlebody-knots with spatial trivalent graphs without cut-edges. We also give fundamental moves with a height function for handlebody-tangles, which helps us to define operator invariants for handlebody-knots. By using the fundamental moves, we give an operator invariant.
Analyticity of the free energy of a closed 3-manifold.
Garoufalidis, Stavros, Lê, Thang T.Q., Mariño, Marcos (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Asymptotic Vassiliev invariants for vector fields
Sebastian Baader, Julien Marché (2012)
Bulletin de la Société Mathématique de France
We analyse the asymptotical growth of Vassiliev invariants on non-periodic flow lines of ergodic vector fields on domains of . More precisely, we show that the asymptotics of Vassiliev invariants is completely determined by the helicity of the vector field.
Automorphic forms and rational homology 3-spheres.
Calegari, Frank, Dunfield, Nathan M. (2006)
Geometry & Topology
Currently displaying 21 – 38 of 38
Previous Page 2