Results 121 to 130 of about 210 (155)

Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]

open access: yesArtif Intell Rev
Su Z   +7 more
europepmc   +1 more source

log TQFT [PDF]

open access: yesJournal of Geometry and Physics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Simon Scott
exaly   +4 more sources

QUANTUM TEICHMÜLLER THEORY AND TQFT [PDF]

open access: yesCommunications in Mathematical Physics, 2013
41 pages, references added, Conjecture 1 and Theorem 5 ...
R M Kashaev
exaly   +6 more sources

Integral lattices in TQFT [PDF]

open access: yesAnnales Scientifiques De L'Ecole Normale Superieure, 2007
We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO(3) TQFT-modules of surfaces at roots of unity of odd prime order. Some applications relating quantum invariants to classical 3-manifold topology are given.
Patrick M Gilmer, G Masbaum
exaly   +3 more sources

A Simple Model of 4d-TQFT

open access: yesMATRIX Book Series, 2018
We show that, associated with any complex root of unity $ω$, there exists a particularly simple 4d-TQFT model $M_ω$ defined on the cobordism category of Delta complexes. For an oriented closed 4-manifold $X$ of Euler characteristic $χ(X)$, it is conjectured that the quantity $N^{3χ(X)/2}M_ω(X)$, where $N$ is the order of $ω$, takes only finitely many ...
Rinat Kashaev, Kashaev Rinat
exaly   +3 more sources

THE TEICHMÜLLER TQFT

Proceedings of the International Congress of Mathematicians (ICM 2018), 2019
We review our construction of the Teichmüller TQFT. We recall our volume conjecture for this TQFT and the examples for which this conjecture has been established. We end the paper with a brief review of our new formulation of the Teichmüller TQFT together with some anticipated future developments.
Jørgen Ellegaard Andersen   +1 more
exaly   +5 more sources

Topological Recursion and TQFTs

Oberwolfach Reports, 2016
The topological recursion is an ubiquitous structure in enumerative geometry of surfaces and topological quantum field theories. Since its invention in the context of matrix models, it has been found or conjectured to compute intersection numbers in the moduli space of curves, topological string amplitudes, asymptotics of knot invariants, and more ...
Gaëtan Borot   +3 more
  +4 more sources

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