Higher order Massey products and applications

التفاصيل البيبلوغرافية
العنوان: Higher order Massey products and applications
المؤلفون: Limonchenko, Ivan, Millionshchikov, Dmitry
سنة النشر: 2020
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Topology, Mathematics - Commutative Algebra, Mathematics - Representation Theory, 13F55 (Primary) 52B11, 55S30 (Secondary)
الوصف: 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
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2002.10050
رقم الأكسشن: edsarx.2002.10050
قاعدة البيانات: arXiv