Gauge theories labelled by three-manifolds
T Dimofte, D Gaiotto, S Gukov - Communications in Mathematical Physics, 2014 - Springer
We propose a dictionary between geometry of triangulated 3-manifolds and physics of three-
dimensional N= 2 N= 2 gauge theories. Under this duality, standard operations on …
dimensional N= 2 N= 2 gauge theories. Under this duality, standard operations on …
[图书][B] Monoidal categories and topological field theory
VG Turaev, A Virelizier - 2017 - Springer
The theory of monoidal categories is intimately related to topology. Morphisms in monoidal
categories and operations on these morphisms may be represented by pictures, as was …
categories and operations on these morphisms may be represented by pictures, as was …
Notes on Perelman's papers
B Kleiner, J Lott - Geometry & Topology, 2008 - projecteuclid.org
These are notes on Perelman's papers “The Entropy Formula for the Ricci Flow and its
Geometric Applications”[46] and “Ricci Flow with Surgery on Three-Manifolds'[47]. In these …
Geometric Applications”[46] and “Ricci Flow with Surgery on Three-Manifolds'[47]. In these …
[图书][B] Computer graphics and geometric modeling
MK Agoston, MK Agoston - 2005 - Springer
The intended audience of this book (and the combined two volumes especially) is quite
broad. It can be used in a variety of computer graphics courses or by those who are trying to …
broad. It can be used in a variety of computer graphics courses or by those who are trying to …
[图书][B] Algebraic topology of finite topological spaces and applications
JA Barmak - 2011 - books.google.com
This volume deals with the theory of finite topological spaces and its relationship with the
homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic …
homotopy and simple homotopy theory of polyhedra. The interaction between their intrinsic …
[图书][B] Knot theory
VO Manturov - 2018 - taylorfrancis.com
Over the last fifteen years, the face of knot theory has changed due to various new theories
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …
and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to …
[图书][B] Geometrisation of 3-manifolds
L Bessières, G Besson, M Boileau, S Maillot, J Porti - 2010 - books.google.com
The Geometrisation Conjecture was proposed by William Thurston in the mid 1970s in order
to classify compact 3-manifolds by means of a canonical decomposition along essential …
to classify compact 3-manifolds by means of a canonical decomposition along essential …
Right-angled polyhedra and hyperbolic 3-manifolds
AY Vesnin - Russian Mathematical Surveys, 2017 - iopscience.iop.org
Hyperbolic 3-manifolds whose fundamental groups are subgroups of finite index in right-
angled Coxeter groups are under consideration. The construction of such manifolds is …
angled Coxeter groups are under consideration. The construction of such manifolds is …
Elementary knot theory
M Lackenby - arXiv preprint arXiv:1604.03778, 2016 - arxiv.org
arXiv:1604.03778v1 [math.GT] 13 Apr 2016 Page 1 arXiv:1604.03778v1 [math.GT] 13 Apr
2016 ELEMENTARY KNOT THEORY MARC LACKENBY 1. Introduction …
2016 ELEMENTARY KNOT THEORY MARC LACKENBY 1. Introduction …
The quantum content of the gluing equations
T Dimofte, S Garoufalidis - Geometry & Topology, 2013 - msp.org
The gluing equations of a cusped hyperbolic 3–manifold M are a system of polynomial
equations in the shapes of an ideal triangulation T of M that describe the complete …
equations in the shapes of an ideal triangulation T of M that describe the complete …