Перегляд за автором "Korepanov, I.G."

Сортувати за: Порядок: Результатів:

  • A Euclidean Geometric Invariant of Framed (Un)Knots in Manifolds 
    Dubois, J.; Korepanov, I.G.; Martyushev, E.V. (Symmetry, Integrability and Geometry: Methods and Applications, 2010)
    We present an invariant of a three-dimensional manifold with a framed knot in it based on the Reidemeister torsion of an acyclic complex of Euclidean geometric origin. To show its nontriviality, we calculate the invariant ...
  • Parameterizing the Simplest Grassmann-Gaussian Relations for Pachner Move 3-3 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We consider relations in Grassmann algebra corresponding to the four-dimensional Pachner move 3-3, assuming that there is just one Grassmann variable on each 3-face, and a 4-simplex weight is a Grassmann-Gaussian exponent ...
  • Pentagon Relations in Direct Sums and Grassmann Algebras 
    Korepanov, I.G.; Sadykov, N.M. (Symmetry, Integrability and Geometry: Methods and Applications, 2013)
    We construct vast families of orthogonal operators obeying pentagon relation in a direct sum of three n-dimensional vector spaces. As a consequence, we obtain pentagon relations in Grassmann algebras, making a far reaching ...
  • Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves 
    Korepanov, I.G. (Symmetry, Integrability and Geometry: Methods and Applications, 2011)
    New algebraic relations are presented, involving anticommuting Grassmann variables and Berezin integral, and corresponding naturally to Pachner moves in three and four dimensions. These relations have been found experimentally ...