Higher order Massey products and applications
| Autor: | Ivan Limonchenko, Dmitry Millionshchikov |
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| Rok vydání: | 2020 |
| Předmět: |
Pure mathematics
Mathematics::Commutative Algebra Homotopy Local ring Order (ring theory) Homology (mathematics) Mathematics - Commutative Algebra Commutative Algebra (math.AC) Mathematics::Algebraic Topology Cohomology Intersection Mathematics::K-Theory and Homology Lie algebra FOS: Mathematics 13F55 (Primary) 52B11 55S30 (Secondary) Algebraic Topology (math.AT) Mathematics - Algebraic Topology Representation Theory (math.RT) Topology (chemistry) Mathematics - Representation Theory Mathematics |
| DOI: | 10.48550/arxiv.2002.10050 |
| Popis: | In this survey, we discuss two research areas related to Massey's higher operations. The first direction is connected with the cohomology of Lie algebras and the theory of representations. The second main theme is at the intersection of toric topology, homotopy theory of polyhedral products, and the homology theory of local rings, Stanley-Reisner rings of simplicial complexes. Comment: 36 pages, 1 figure; minor changes, misprints corrected |
| Databáze: | OpenAIRE |
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