Mapping class group actions in Chern–Simons theory with gauge group
نویسندگان
چکیده
منابع مشابه
Mapping class group actions in Chern - Simons theory with gauge group G ⋉ g ∗
We study the action of the mapping class group of an oriented genus g surface Sg,n with n punctures on a Poisson algebra which arises in the combinatorial description of Chern-Simons gauge theory on R × Sg,n when the gauge group is a semidirect product G ⋉ g . We prove that the mapping class group acts on this algebra via Poisson isomorphisms and express the action of Dehn twists in terms of an...
متن کاملActions of the Mapping Class Group
Let S be a closed oriented surface S of genus g ≥ 0 with m ≥ 0 marked points (punctures) and 3g − 3 + m ≥ 2. This is a survey of recent results on actions of the mapping class group of S which led to a geometric understanding of this group. Mathematics Subject Classification (2010). Primary 30F60, Secondary 20F28, 20F65, 20F69
متن کاملMapping Class Group Actions on Quantum Doubles
We study representations of the mapping class group of the punctured torus on the double of a finite dimensional possibly non-semisimple Hopf algebra that arise in the construction of universal, extended topological field theories. We discuss how for doubles the degeneracy problem of TQFT’s is circumvented. We find compact formulae for the S±1-matrices using the canonical, non degenerate forms ...
متن کاملActions and irreducible representations of the mapping class group
Let G be a countable discrete group. Call two subgroups H1 and H2 of G commensurable if H1 ∩H2 has finite index in both H1 and H2. We say that an action of G on a discrete set X has noncommensurable stabilizers if the stabilizers of any two distinct points of X are not commensurable. We prove in this paper that the action of the mapping class group on the complex of curves has noncommensurable ...
متن کاملGroup Actions in Number Theory
Students having had a semester course in abstract algebra are exposed to the elegant way in which finite group theory leads to proofs of familiar facts in elementary number theory. In this note we offer two examples of such group theoretical proofs using the action of a group on a set. The first is Fermat’s little theorem and the second concerns a well known identity involving the famous Euler ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2005
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2004.10.057