Geometric torsions and invariants of manifolds with triangulated boundary

Autor:	Korepanov, I. G.
Rok vydání:	2008
Předmět:	Mathematics - Geometric Topology Mathematics - Algebraic Topology Mathematics - Quantum Algebra
Zdroj:	Theor. Math. Phys. 158:1 (2009) 82-95
Druh dokumentu:	Working Paper
DOI:	10.1007/s11232-009-0006-6
Popis:	Geometric torsions are torsions of acyclic complexes of vector spaces which consist of differentials of geometric quantities assigned to the elements of a manifold triangulation. We use geometric torsions to construct invariants for a manifold with a triangulated boundary. These invariants can be naturally united in a vector, and a change of the boundary triangulation corresponds to a linear transformation of this vector. Moreover, when two manifolds are glued by their common boundary, these vectors undergo scalar multiplication, i.e., they work according to M. Atiyah's axioms for a topological quantum field theory. Comment: 18 pages, 4 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0803.0123 Zobrazit plný text záznamu View this record from Arxiv