Frobenius-Schur indicatorState-sumFree boundaryMapping class groupSpherical fusion categoryDrinfeld centerThe Turaev–Viro state sum invariant can be extended to 3-manifolds with free boundaries. We use this fact to describe generalized Frobenius–Schur indicators as Turaev–Viro invariants of solid tori....
We present a complete classification of elements in the mapping class group of the torus which have a representative that can be written as a product of two orientation reversing involutions. Our interest in such decompositions is motivated by features of the monodromy maps of real fibrations. ...
The Quantum Modular Group in (2+1)-Dimensional Gravity For spacetimes with the spatial topology of a torus, this transformation and an explicit operator representation of the mapping class group are constructed... S Carlip,JE Nelson 被引量: 40发表: 1998年 Mapping the Total Value Stream: A ...
We compute the mapping class group action on cycles on the configurationspace of the torus with one puncture, with coefficients in a local systemarising in conformal field theory. This action commutes with the topologicalaction of the quantum group $U_q(sl_2)$, and is given in vertex form...
1.4 Mapping class group dynamics A powerful tool to investigate the holonomy problem is the mapping class group action on the associated character variety. The latter parametrises the set of all representations of the fundamental group of a compact surface into the affine group [Math Processing Erro...
7.A Presentation of (1,2)-knots via the Mapping Class Group of the 4th-punctured Torus用穿四孔环面的映射类群表示(1,2)-纽结 8.Based on Multi-table Mapping User IP-targeted Research基于多表映射实现用户IP定位的研究 9.Heterogeneous Database-to-Ontology Mapping Based on the Synonym Table基于同...
WhenXis a torus, theMod(X)is isomorphic to the groupSL2(Z). (TheSL2(Z)is called a modular group, hence ournotation for the mapping class groups.) A little is known about the representations ofMod(X)beyond the caseg=1. Recall, that the group is calledlinear, if there exists a...
We shall show how the nilpotency class of a finite loop Q is determined by the properties of a nilpotent inner mapping group. We also show that a classica... M Niemenmaa,M Rytty - 《Archiv Der Mathematik》 被引量: 1发表: 2010年 The action of mapping classes on nilpotent covers of ...
We also introduce here the class ofdoubly-stochastic(DS) quantum channels, with the termquantum channeldistinguishing fromquantum operationin that, in addition to the CP constraint, we additionally imposetrace preservation(TP)1. In this work, we will refer to CPTP maps usingΦ(⋅). Moreover,...
arXiv:0710.1329v1 [math.QA] 5 Oct 2007Conformal f i eld theory and mapping class groupsTerry GannonMathematics Dept, U of Alberta, CanadaAbstract. Rational conformal f i eld theories produce a tower off i nite-dimensional representations of surface mapping class groups,acting on the conformal ...