Results 41 to 50 of about 459 (91)
A TQFT of Turaev–Viro Type on Shaped Triangulations
, 2016 A shaped triangulation is a finite triangulation of an oriented pseudo-three-manifold where each tetrahedron carries dihedral angles of an ideal hyperbolic tetrahedron.
Vartanov, Grigory +2 more
core +1 more source
Oscillating mushrooms : adiabatic theory for a non-ergodic system [PDF]
, 2014 Can elliptic islands contribute to sustained energy growth as parameters of a Hamiltonian system slowly vary with time? In this paper we show that a mushroom billiard with a periodically oscillating boundary accelerates the particle inside it ...
Turaev, D +5 more
core +1 more source
State-sum invariants of 3-manifolds associated to artinian semisimple tortile categories
, 1994 The method of Turaev and Viro is generalized to construct state-sum invariants of 3-manifolds using an artinian semisimple tortile category as initial data.In the first two sections of this paper we lay the topological and algebraic groundwork for the ...
Yetter, David N.
core +1 more source
, 2022 Gukov-Pei-Putrov-Vafa constructed $q$-series invariants called homological blocks in a physical way in order to categorify Witten-Reshetikhin-Turaev (WRT) invariants and conjectured that radial limits of homological blocks are WRT invariants.
Mori, Akihito, Murakami, Yuya
core +1 more source
On Roberts' proof of the Turaev-Walker theorem
, 1996 In this paper we discuss the beautiful idea of Justin Roberts [7] (see also [8]) to re-obtain the Turaev-Viro invariants [11] via skein theory, and re-prove elementarily the Turaev-Walker theorem [9], [10], [13]. We do this by exploiting the presentation
Benedetti R., Petronio C.
core +1 more source
Turaev-Viro theory as an extended TQFT
, 2012 In recent years, the application of quantum groups to the study of low-dimensional topology has become an active topic of research. In three-dimensions, these yield the well-known Reshetihkin-Turaev (RT) invariants, which are a mathematical formulation
Balsam, Benjamin
core
Generalized Abelian Turaev–Viro and U(1) BF theories
We explain how it is possible to study U(1) BF theory over a connected closed oriented smooth 3-manifold in the formalism of path integral thanks to Deligne–Beilinson cohomology.
Thuillier, Frank +2 more
core +1 more source
3-dimensional Gravity from the Turaev-Viro Invariant
, 1991 We study the $q$-deformed su(2) spin network as a 3-dimensional quantum gravity model. We show that in the semiclassical continuum limit the Turaev-Viro invariant obtained recently defines naturally regularized path-integral $\grave{\rm a}$ la Ponzano-Regge, In which a contribution from the cosmological term is effectively included.
Mizoguchi, Shun'ya, Tada, Tsukasa
openaire +2 more sources
Invariants for turaev genus one links
, 2018 The Turaev genus defines a natural filtration on knots where Turaev genus zero knots are precisely the alternating knots. We show that the signature of a Turaev genus one knot is determined by the number of components in its all-A Kaufiman state, the ...
Lowrance, Adam M., Dasbach, Oliver T.
core +1 more source