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math-ph2015★ 4 cited
Multiplicative expression for the coefficient in fermionic 3-3 relation
Igor G. Korepanov
Recently, a family of fermionic relations were discovered corresponding to Pachner move 3-3 and parameterized by complex-valued 2-cocycles, where the weight of a pentachoron (4-sim…
math-ph2014★ 17 cited
Cohomologies of -simplex relations
Igor Korepanov, Georgy Sharygin, Dmitry Talalaev
A theory of (co)homologies related to set-theoretic -simplex relations is constructed in analogy with the known quandle and Yang--Baxter (co)homologies, with emphasis made on th…