Results 61 to 70 of about 357 (103)
Topological invariants and geometries of three-manifolds
, 1996 By using the Chern-Simons interpretation of three-dimensional gravity, it is possible to define a sum over the geometries of three-manifolds. This sum represents a topological invariant for closed, connected and orientable three-manifolds and coincides ...
GUADAGNINI, ENORE
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Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity [PDF]
, 1991 It is shown that, in the three-dimensional lattice gravity defined by Ponzano and Regge, the space of physical states is isomorphic to the space of gauge-invariant functions on the moduli space of flat SU(2) connections over a two-dimensional surface ...
Sasakura, Naoki, Ooguri, Hirosi
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Tresses et structure entière sur la catégorie des représentations de SLN quantique
, 2000 International audienceAccording to a theorem of Masbaum and Wenzl [11], the Turaev-Viro invariant of a 3-manifold associated with the modular categories constructed from UqslN is a cyclotomic integer when q is of prime order.
Bruguieres, Alain
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Isotopy Invaraints of Immersed surfaces in a 4-manifold
127 pg.In this this dissertation we introduce an isotopy invariant of generically immersed surfaces in some 4-manifold. The construction is based on Khovanov homology and its variants in the same way as the construction of Turaev-Viro module of a 3 ...
Weng, Luoying
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Categorical Centers and Reshetikhin-Turaev Invariants
, 2008 International audienceA theorem of M¨uger asserts that the center Z(C) of a spherical fusion category C over k is a modular fusion category if k is an algebraically closed field and the dimension of C is invertible.
Virelizier, Alexis, Bruguieres, Alain
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, 2007 this paper we focus on the simplest Vassiliev knot invariant v 2 . This invariant is of degree 2. It can be characterized as the unique Vassiliev invariant of degree 2 which takes values 0 on the unknot and 1 on a trefoil.
Oleg Viro, Michael Polyak
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Invariants par somme d’états des 3-variétés peignées
, 2019 Cette thèse concerne la topologie quantique, une branche des mathématiques née dans les années 1980 suite aux travaux de Jones, Drinfeld et Witten. Un exemple fondamental d'invariant quantique des 3-variétés est due à Turaev-Viro en 1992.
Calimici, Giulio
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, 2012 Quantum sl_3 projectors are morphisms in Kuperberg's sl_3 spider, a diagrammatically defined category equivalent to the full pivotal subcategory of the category of (type 1) finite-dimensional representations of the quantum group U_q (sl_3 ) generated by ...
Rose, David Emile Vatcher
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Un invariant universel fonctoriel raffiné des enchevêtrements
The universal invariant with respect to a given ribbon Hopf algebra is a tangle invariant that dominates all the Reshetikhin-Turaev invariants built from the representation theory of the algebra.
Becerra, Jorge
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An upper bound conjecture for the Yokota invariant
We conjecture an upper bound on the growth of the Yokota invariant of polyhedral graphs, extending a previous result on the growth of the $6j$-symbol. Using Barrett's Fourier transform we are able to prove this conjecture in a large family of examples ...
Belletti, Giulio
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