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dc.contributor.author | Korepanov I.G. | en |
dc.date.accessioned | 2018-10-16T06:53:46Z | |
dc.date.available | 2018-10-16T06:53:46Z | |
dc.date.issued | 2009 | |
dc.identifier.issn | 405779 | |
dc.identifier.uri | http://dspace.susu.ru/handle/0001.74/20626 | |
dc.description.abstract | Geometric torsions are torsions of acyclic complexes of vector spaces consisting of differentials of geometric quantities assigned to the elements of a manifold triangulation. We use geometric torsions to construct invariants for a three-dimensional manifold with a triangulated boundary. These invariants can be naturally combined into a vector, and a change of the boundary triangulation corresponds to a linear transformation of this vector. Moreover, when two manifolds are glued at their common boundary, these vectors undergo scalar multiplication, i.e., they satisfy Atiyah's axioms of a topological quantum field theory. © 2009 MAIK/Nauka. | en] |
dc.language.iso | English | |
dc.relation.ispartof | Theoretical and Mathematical Physics | en] |
dc.title | Geometric torsions and invariants of manifolds with a triangulated boundary | en |
dc.type | Article | en] |
dc.identifier.doi | 10.1007/s11232-009-0006-6 | |
dc.identifier.scopus | https://www.scopus.com/inward/record.uri?eid=2-s2.0-59549089591&doi=10.1007%2fs11232-009-0006-6&partnerID=40&md5=30452cb7c14d4573f435c75034752b9b |
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