Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves

@article{Korepanov2011RelationsIG,
  title={Relations in Grassmann Algebra Corresponding to Three- and Four-Dimensional Pachner Moves},
  author={Igor G. Korepanov},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  year={2011},
  volume={7},
  pages={117}
}
  • I. Korepanov
  • Published 4 May 2011
  • Mathematics
  • Symmetry Integrability and Geometry-methods and Applications
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 { using symbolic computer calculations; their essential new feature is that, although they can be treated as deformations of relations corresponding to torsions of acyclic complexes, they can no longer be explained in such terms. In the simpler case of three dimensions… 

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