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Geometric torsions and invariants of manifolds with triangulated boundary | | I.G. Korepanov
; | | Date: |
2 Mar 2008 | | Abstract: | 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. | | Source: | arXiv, 0803.0123 | | Services: | Forum | Review | PDF | Favorites | |
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