Quaternities, correspondences, and tetrahedron equations (Summa tetralogiae)
Abstract
The aim of this note is: (a) to propose a generalization of tetrahedron equations from S and of their solutions. Due to appearance of a larger number of parameters the R-matrices from S will be replaced by "R-correspondences". (b) To rephrase these equations in terms of Wronskian evolutions in the spirit of SV. (c) To discuss some elementary structures of cohomological flavour lying behind our considerations. We call them "quaternities", or "bibitorsors"; they might be not without an independent interest.
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