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Relatively simple algebraic relations are presented corresponding to Pachnermoves 3 -> 3 and 2 <-> 4, thus providing two thirds of the foundation for afour-dimensional topological quantum field theory. These relations are writtenin terms of Grassmann anticommuting variables and Berezin integral.

Algebraic relations with anticommuting variables for four-dimensional Pachner moves 3 -> 3 and 2 <-> 4