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 …
Holomorphic blocks in three dimensions
A bstract We decompose sphere partition functions and indices of three-
dimensional\(\mathcal {N}\)= 2 gauge theories into a sum of products involving a universal …
dimensional\(\mathcal {N}\)= 2 gauge theories into a sum of products involving a universal …
Perturbative and nonperturbative aspects of complex Chern–Simons theory
T Dimofte - Journal of Physics A: Mathematical and Theoretical, 2017 - iopscience.iop.org
Perturbative and nonperturbative aspects of complex Chern–Simons theory - IOPscience Skip
to content IOP Science home Accessibility Help Search Journals Journals list Browse more …
to content IOP Science home Accessibility Help Search Journals Journals list Browse more …
From angled triangulations to hyperbolic structures
D Futer, F Guéritaud - Interactions between hyperbolic geometry …, 2011 - books.google.com
This survey paper contains an elementary exposition of Casson and Rivin's technique for
finding the hyperbolic metric on a 3–manifold M with toroidal boundary. We also survey a …
finding the hyperbolic metric on a 3–manifold M with toroidal boundary. We also survey a …
[PDF][PDF] A TQFT from quantum Teichm\" uller theory
JE Andersen, R Kashaev - arXiv preprint arXiv:1109.6295, 2011 - arxiv.org
arXiv:1109.6295v2 [math.QA] 30 May 2012 Page 1 arXiv:1109.6295v2 [math.QA] 30 May 2012
A TQFT FROM QUANTUM TEICHMULLER THEORY JØRGEN ELLEGAARD ANDERSEN AND …
A TQFT FROM QUANTUM TEICHMULLER THEORY JØRGEN ELLEGAARD ANDERSEN AND …
Knots, perturbative series and quantum modularity
S Garoufalidis, D Zagier - SIGMA. Symmetry, Integrability and Geometry …, 2024 - emis.de
We introduce an invariant of a hyperbolic knot which is a map $\alpha\mapsto\boldsymbol
{\Phi} _\alpha (h) $ from $\mathbb {Q}/\mathbb {Z} $ to matrices with entries in $\overline …
{\Phi} _\alpha (h) $ from $\mathbb {Q}/\mathbb {Z} $ to matrices with entries in $\overline …
Quantum riemann surfaces in Chern-Simons theory
T Dimofte - 2013 - projecteuclid.org
We construct from first principles the operators ̂A_M that annihilate the partition functions
(or wavefunctions) of three-dimensional Chern-Simons theory with gauge groups SU(2) …
(or wavefunctions) of three-dimensional Chern-Simons theory with gauge groups SU(2) …
Precision microstate counting for the entropy of wrapped M5-branes
A bstract We study the large N expansion of twisted partition functions of 3d\(\mathcal {N}\)=
2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3 …
2 superconformal field theories arising from N M5-branes wrapped on a hyperbolic 3 …
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 …
Complex Chern–Simons Theory at Level k via the 3d–3d Correspondence
T Dimofte - Communications in Mathematical Physics, 2015 - Springer
We use the 3d–3d correspondence together with the DGG construction of theories T n M
labelled by 3-manifolds M to define a non-perturbative state-integral model for SL (n, C) SL …
labelled by 3-manifolds M to define a non-perturbative state-integral model for SL (n, C) SL …