Geometric Torsions and an Atiyah-style Topological Field Theory

  title={Geometric Torsions and an Atiyah-style Topological Field Theory},
  author={I. G. KOREPANOV},
  • Published 2008
The construction of invariants of three-dimensional manifolds with a triangulated boundary, proposed earlier by the author for the case when the boundary consists of not more than one connected component, is generalized to any number of components. These invariants are based on the torsion of acyclic complexes of geometric origin. The relevant tool for studying our invariants turns out to be F.A. Berezin’s calculus of anti-commuting variables; in particular, they are used in the formulation of… CONTINUE READING

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Showing 1-10 of 12 references

Geometric invariants three-dimensional manifolds, knots and links

  • E. V. Martyushev
  • Ph.D. Thesis. Chelyabinsk, South Ural State…
  • 2007
2 Excerpts

Move 3 → 3 and Affine Volume-Preserving Geometry in R3

  • I. G. Korepanov, Pachner
  • 2005
3 Excerpts

SL(2)-solution of the pentagon equation and invariants of threedimensional manifolds

  • I. G. Korepanov
  • Theor. Math. Phys
  • 2004
2 Excerpts