Nonconstant hexagon relations and their cohomology
| Autor: | Igor G. Korepanov |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: |
Pure mathematics
57R56 81T70 (Primary) 57Q99 12E99 (Secondary) Complex system Statistical and Nonlinear Physics Cohomology Set (abstract data type) Feature (computer vision) Mathematics - Quantum Algebra FOS: Mathematics Quantum Algebra (math.QA) Algebraic Topology (math.AT) Mathematics - Algebraic Topology Mathematical Physics Mathematics |
| Popis: | A construction of hexagon relations - algebraic realizations of four-dimensional Pachner moves - is proposed. It goes in terms of "permitted colorings" of 3-faces of pentachora (4-simplices), and its main feature is that the set of permitted colorings is nonconstant - varies from pentachoron to pentachoron. Further, a cohomology theory is formulated for these hexagon relations, and its nontriviality is demonstrated on explicit examples. 26 pages; v2: improvements in Section 6, expression for 4-cocycle corrected |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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