Computation of characteristic classes of a manifold from a triangulation of it

DOI10.1070/RM2005v060n04ABEH003671zbMath1139.57026OpenAlexW1965690267MaRDI QIDQ5460470

Alexander A. Gaifullin

Publication date: 28 April 2008

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm2005v060n04abeh003671

zbMATH Keywords

Euler characteristiclocal formulaStiefel-WhitneyBistellar moves

Mathematics Subject Classification ID

Intersection theory, characteristic classes, intersection multiplicities in algebraic geometry (14C17) Characteristic classes and numbers in differential topology (57R20) Triangulating manifolds (57Q15) Simplicial sets and complexes in algebraic topology (55U10) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Research exposition (monographs, survey articles) pertaining to manifolds and cell complexes (57-02) Cobordism in PL-topology (57Q20)

Related Items (6)

A note on a local combinatorial formula for the Euler class of a PL spherical fiber bundle ⋮ Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class ⋮ Vladimir Abramovich Rokhlin and algebraic topology ⋮ On local combinatorial formulas for Chern classes of a triangulated circle bundle ⋮ Localizable invariants of combinatorial manifolds and Euler characteristic ⋮ How many simplices are needed to triangulate a Grassmannian?

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