Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class
From MaRDI portal
Publication:600713
DOI10.1134/S0081543810010074zbMath1227.57033arXiv0912.3933MaRDI QIDQ600713
Publication date: 1 November 2010
Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3933
configuration spacePontryagin classestriangulated manifoldbistellar movecharacteristic local cyclelocal formula
Characteristic classes and numbers in differential topology (57R20) Triangulating manifolds (57Q15) Embeddings in differential topology (57R40)
Related Items (2)
How many simplices are needed to triangulate a Grassmannian? ⋮ A 15-vertex triangulation of the quaternionic projective plane
Cites Work
- Spectral geometry of singular Riemannian spaces
- The 9-vertex complex projective plane
- P.l. homeomorphic manifolds are equivalent by elementary shellings
- Konstruktionsmethoden und das kombinatorische Homöomorphieproblem für Triangulationen kompakter semilinearer Mannigfaltigkeiten. (Methods of constructions and the combinatorical homeomorphism problem for triangulations of compact semilinear manifolds)
- A local combinatorial formula for the first class of Pontryagin
- Index of a singular point of a vector field, the Petrovskii-Oleinik inequality, and mixed Hodge structures
- Stiefel-Whitney homology classes
- Isotropic deformations of geodesic complexes on the 2-sphere and on the plane
- Simplicial Manifolds, Bistellar Flips and a 16-Vertex Triangulation of the Poincaré Homology 3-Sphere
- On Certain Homotopy Properties of some Spaces of Linear and Piecewise Linear Homeomorphisms. I
- Spectral Asymmetry and Riemannian Geometry
- A combinatorial formula for the Pontrjagin classes
- The Existence of Combinatorial Formulae for Characteristic Classes
- The Chern-Euler number of circle bundle via singularity theory
- Local formulae for combinatorial Pontryagin classes
- Computation of characteristic classes of a manifold from a triangulation of it
- The construction of combinatorial manifolds with prescribed sets of links of vertices
- On the Theory of Sphere-Bundles
- NOTE ON MANIFOLDS
This page was built for publication: Configuration spaces, bistellar moves, and combinatorial formulae for the first Pontryagin class
