منابع مشابه
Torsion, TQFT, and Seiberg–Witten invariants of 3–manifolds
We prove a conjecture of Hutchings and Lee relating the Seiberg–Witten invariants of a closed 3–manifold X with b1 ≥ 1 to an invariant that “counts” gradient flow lines—including closed orbits—of a circle-valued Morse function on the manifold. The proof is based on a method described by Donaldson for computing the Seiberg–Witten invariants of 3–manifolds by making use of a “topological quantum ...
متن کاملXXX p - Modular TQFT ’ s , Milnor - Torsion , and the Casson - Lescop Invariant
We derive formulae which lend themselves to TQFT interpretations of the Milnor Torsion, the Lescop Invariant, the Casson Invariant, and the Casson-Morita Cocycle of a 3-manifold, and, furthermore, relate them to the Reshetikhin-Turaev theory. AMS Classification 57R56, 57M27; 17B10, 17B37, 17B50, 20B30, 20C30, 20C20, 57Q10.
متن کاملChord diagrams, topological quantum field theory, and the sutured Floer homology of solid tori
I will talk about recent investigations of contact elements in the sutured Floer homology of solid tori, as part of the (1 + 1)-dimensional TQFT defined by Honda-Kazez-Matic. The Z2 sutured Floer homology vector spaces in this case form a ”categorification of Pascal’s triangle”, a triangle of vector spaces, with contact elements corresponding to chord diagrams and forming distinguished subsets ...
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.
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2013
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x13500390