The Borsuk-Ulam theorem for 3-manifolds

DOI10.2989/16073606.2021.1887391zbMath1494.57024arXiv2001.03680OpenAlexW3132928445MaRDI QIDQ5081655

Chahrazade Matmat, Christian Blanchet

Publication date: 17 June 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.03680

zbMATH Keywords

3-manifoldsBorsuk-Ulam theoremsurgerylinking forms

Mathematics Subject Classification ID

Group actions on manifolds and cell complexes in low dimensions (57M60) General topology of 3-manifolds (57K30)

Cites Work

• The Borsuk-Ulam theorem for homotopy spherical space forms
• The level of real projective spaces
• Dedekind sums, \(\mu\)-invariants and the signature cocycle
• A polynomial invariant of rational homology \(3\)-spheres
• A borsuk-Ulam theorem for maps from a sphere to a compact topological manifold
• Generalizations of Borsuk-Ulam theorem
• COHOMOLOGY RINGS, LINKING FORMS AND INVARIANTS OF SPIN STRUCTURES OF THREE-DIMENSIONAL MANIFOLDS
• The Borsuk-Ulam theorem for surfaces
• Borsuk-Ulam Type Theorems for Proper $Z_p$-Actions on (Mod $p$ Homology) $n$-Spheres.
• Lectures on the topology of 3-manifolds. An introduction to the Casson invariant
• Using the Borsuk-Ulam theorem. Lectures on topological methods in combinatorics and geometry. Written in cooperation with Anders Björner and Günter M. Ziegler
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