A faithful 2-dimensional TQFT
نویسندگان
چکیده
منابع مشابه
Invariants for 1-dimensional Cohomology Classes Arising from Tqft
Let (V,Z) be a Topological Quantum Field Theory over a field f defined on a cobordism category whose morphisms are oriented n+1-manifolds perhaps with extra structure (for example a p1 structure and banded link). Let (M,χ) be a closed oriented n+ 1-manifold M with this extra structure together with χ ∈ H1(M). Let M∞ denote the infinite cyclic cover of M given by χ. Consider a fundamental domain...
متن کاملApplications of Tqft Invariants in Low Dimensional Topology
In this short note we give lower bounds for the Heegaard genus of 3-manifolds using various TQFT in 2+1 dimensions. We also study the large k limit and the large G limit of our lower bounds, using a conjecture relating the various combinatorial and physical TQFTs. We also prove, assuming this conjecture, that the HOMFLY polynomial of a framed knot in S 3 along with all of its cables distinguish...
متن کاملIntegral Lattices in Tqft
We find explicit bases for naturally defined lattices over a ring of algebraic integers in the SO(3)-TQFT-modules of surfaces at roots of unity of odd prime order. Some applications relating quantum invariants to classical 3-manifold topology are given.
متن کاملHow perverse is TQFT?
In this talk we will introduce Jones polynomial and Khovanov's homology of a knot. These topological invariants are (conjecturally) related to perverse sheaves on Grassmannians. We will try to understand how, and how understanding that might lead to new developments in Topological Quantum Field Theory.
متن کاملEntry-faithful 2-neighbour transitive codes
We consider a code to be a subset of the vertex set of a Hamming graph. The set of s-neighbours of a code is the set of vertices, not in the code, at distance s from some codeword, but not distance less than s from any codeword. A 2-neighbour transitive code is a code which admits a group X of automorphisms which is transitive on the s-neighbours, for s = 1, 2, and transitive on the code itself...
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: Homology, Homotopy and Applications
سال: 2020
ISSN: 1532-0073,1532-0081
DOI: 10.4310/hha.2020.v22.n1.a22