A refinement of Betti numbers and homology in the presence of a continuous function, II: The case of an angle-valued map

DOI10.2140/agt.2018.18.3037zbMath1402.55004arXiv1603.01861OpenAlexW2294964645MaRDI QIDQ1673648

Dan Burghelea

Publication date: 12 September 2018

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.01861

zbMATH Keywords

configuration spacesbar codesangle mapNovikov-Betti numbers

Mathematics Subject Classification ID

Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Other homology theories in algebraic topology (55N35) Algebraic topology on manifolds and differential topology (57R19)

Related Items (2)

Alternative to Morse-Novikov theory for a closed 1-form. I ⋮ Book review of: D. Burghelea, New topological invariants for real- and angle-valued maps. An alternative to Morse-Novikov theory

Cites Work

• Hilbert modules and modules over finite von Neumann algebras and applications to \(L^ 2\)-invariants
• Topology of angle valued maps, bar codes and Jordan blocks
• Topological persistence for circle-valued maps
• A refinement of Betti numbers and homology in the presence of a continuous function. I
• L 2-Betti Numbers of Hypersurface Complements
• Twisted Novikov homology of complex hypersurface complements
• Dimension theory of arbitrary modules over finite von Neumann algebras and L2-Betti numbers I: Foundations

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