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....
Crivelli, M., Felder, G., Wieczerkowski, C.: Generalized hypergeometric functions on the torus and topological representations of U q ( sl 2 ). Commun. Math. Phys. 154 , 1–24 (1993); Topological representations of U q ( sl 2 ) on the torus and the mapping class group. Lett. ...
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...
[6] for a detailed account. 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 called...
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...
Let Eg be a closed oriented surface of genus g and let Mg be its mapping class group. Namely it is the group of all isotopy classes of orientation preservi... S Morita 被引量: 23发表: 1990年 Mapping three - manifolds into the plane. Part i Let Eg be a closed oriented surface 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,...
As a consequence, for every g\in \mathbb N \cup \{0, \infty \} and every n\ge 1, we construct a subgroup G <{{\,\textrm{Map}\,}}(\Sigma _g) that is of type F_n but not of type F_{n+1}, and which contains the mapping class group of every compact surface of genus ...
Mapping class groupWe 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...
(132). In scatter operation, all processes typically specify the same receive count. The send arguments are only significant to the root process, whose buffer actually contains sendcount * N elements of a given datatype, where N is the number of processes in the given group of compute nodes...