A-polynomial, B-model, and quantization
S Gukov, P Sułkowski - Homological Mirror Symmetry and Tropical …, 2014 - Springer
Exact solution to many problems in mathematical physics and quantum field theory often can
be expressed in terms of an algebraic curve equipped with a meromorphic differential …
be expressed in terms of an algebraic curve equipped with a meromorphic differential …
[图书][B] Algebraic invariants of links
J Hillman - 2012 - books.google.com
This book serves as a reference on links and on the invariants derived via algebraic
topology from covering spaces of link exteriors. It emphasizes the features of the …
topology from covering spaces of link exteriors. It emphasizes the features of the …
Twisted Alexander polynomials of hyperbolic knots
We study a twisted Alexander polynomial naturally associated to a hyperbolic knot in an
integer homology 3-sphere via a lift of the holonomy representation to. It is an unambiguous …
integer homology 3-sphere via a lift of the holonomy representation to. It is an unambiguous …
[图书][B] Quandles and topological pairs: Symmetry, knots, and cohomology
T Nosaka - 2017 - Springer
This book surveys quandle theory, starting from basic motivation and passing on to
introduce recent developments and the results of my own research. Topological applications …
introduce recent developments and the results of my own research. Topological applications …
[图书][B] Encyclopedia of knot theory
" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
Finite-volume hyperbolic 3-manifolds are almost determined by their finite quotient groups
Y Liu - Inventiones mathematicae, 2023 - Springer
For any orientable finite-volume hyperbolic 3-manifold, this paper proves that the profinite
isomorphism type of the fundamental group uniquely determines the isomorphism type of …
isomorphism type of the fundamental group uniquely determines the isomorphism type of …
Reidemeister torsion, hyperbolic three-manifolds, and character varieties
J Porti - arXiv preprint arXiv:1511.00400, 2015 - arxiv.org
This is a survey on Reidemeister torsion for hyperbolic three-manifolds of finite volume.
Torsions are viewed as topological invariants and also as functions on the variety of …
Torsions are viewed as topological invariants and also as functions on the variety of …
Going to the other side via the resurgent bridge
Using resurgent analysis we offer a novel mathematical perspective on a curious bijection
(duality) that has many potential applications ranging from the theory of vertex algebras to …
(duality) that has many potential applications ranging from the theory of vertex algebras to …
A vanishing theorem for twisted Alexander polynomials with applications to symplectic 4-manifolds
We show that given any 3-manifold N and any non-fibered class in H1 (N; Z) there exists a
representation such that the corresponding twisted Alexander polynomial is zero. We obtain …
representation such that the corresponding twisted Alexander polynomial is zero. We obtain …
The Thurston norm and twisted Alexander polynomials
The Thurston norm and twisted Alexander polynomials Page 1 J. reine angew. Math. 707 (2015),
87–102 Journal für die reine und angewandte Mathematik DOI 10.1515/crelle-2013-0087 © De …
87–102 Journal für die reine und angewandte Mathematik DOI 10.1515/crelle-2013-0087 © De …