New Topological Invariants for Real- and Angle-Valued Maps

DOI10.1142/9254zbMath1384.58001OpenAlexW4239899856MaRDI QIDQ5370545

Dan Burghelea

Publication date: 20 October 2017

Full work available at URL: https://doi.org/10.1142/9254

zbMATH Keywords

barcodemonodromycritical pointAlexander polynomialcritical valueNovikov complexPoincaré dualityJordan blockhomological critical valueBorel-Moore homologyNovikov homologyMorse complexJordan cellreal-valued Morse functionangle-valued Morse functions

Mathematics Subject Classification ID

Classifying spaces of groups and (H)-spaces in algebraic topology (55R35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Research exposition (monographs, survey articles) pertaining to global analysis (58-02) Differentiable mappings in differential topology (57R35) Critical points of functions and mappings on manifolds (58K05) Monodromy on manifolds (58K10) Topological properties of mappings on manifolds (58K15)

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