Characteristic Classes
DOI10.1007/978-3-030-95760-5_5zbMath1506.14001OpenAlexW4285224651MaRDI QIDQ5050032
Publication date: 15 November 2022
Published in: Handbook of Geometry and Topology of Singularities III (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-030-95760-5_5
Chern classSegre classThom polynomialStiefel-Whitney classPontryagin classChern-Schwartz-MacPherson classcharacteristic classes of singular varietiesWu classlocal Euler obstructionHirzebruch theorymotivic Chern classstringy Chern class
Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces (32-02) Research exposition (monographs, survey articles) pertaining to algebraic geometry (14-02) Theory of singularities and catastrophe theory (58Kxx) Complex singularities (32Sxx) Local theory in algebraic geometry (14Bxx)
Related Items (1)
Uses Software
Cites Work
- Milnor numbers and Euler obstruction
- The local Euler obstruction and topology of the stabilization of associated determinantal varieties
- Richtungsfelder und Fernparallelismus in \(n\)-dimensionalen Mannigfaltigkeiten
- Products of cocycles and extensions of mappings
- On the product of sphere bundles and the duality theorem modulo two
- Quelques propriétés globales des variétés différentiables
- Characteristic classes of Hermitian manifolds
- An elementary proof of Euler's formula using Cauchy's method
- 3264 and All That
- Polar Varieties Revisited
- Multitoric surfaces and Euler obstruction of a function
- Splayed divisors and their Chern classes
- Euler obstruction and polar multiplicities of images of finite morphisms on ICIS
- Codimension Two Determinantal Varieties with Isolated Singularities
- Some notes on the Euler obstruction of a function
- The Euler obstruction and the Chern obstruction
- Stiefel–Whitney numbers for singular varieties
- The Euler Characteristic of a Generic Wavefront in a 3-Manifold
- TWISTED TOPOLOGICAL STRUCTURES RELATED TO M-BRANES II: TWISTED Wu ANDWucSTRUCTURES
- Milnor Number Equals Tjurina Number for Functions on Space Curves
- Motivic characteristic classes
- Characteristic classes of mixed Hodge modules
- Stiefel-Whitney Homology Classes of Quasi-Regular Cell Complexes
- La théorie des classes de Chern
- Witt Spaces: A Geometric Cycle Theory for KO-Homology at Odd Primes
- Equivariant Chern classes of singular algebraic varieties with group actions
- Intersection homology with field coefficients:K-Witt spaces andK-Witt bordism
- THE EULER OBSTRUCTION AND BRUCE-ROBERTS' MILNOR NUMBER
- EULER OBSTRUCTION, POLAR MULTIPLICITIES AND EQUISINGULARITY OF MAP GERMS IN $\mathcal{O}(n,p), n < p$
- Characteristic Classes of Singular Toric Varieties
- Macpherson's chern classes of singular algebraic varieties
- HIRZEBRUCH CLASSES AND MOTIVIC CHERN CLASSES FOR SINGULAR SPACES
- Singular Chern Classes of Schubert Varieties via Small Resolution
- The Flaw in Euler's Proof of His Polyhedral Formula
- Une nouvelle preuve de la concordance des classes définies par M.-H. Schwartz et par R. MacPherson
- ORIENTED BIVARIANT THEORIES, I
- Sur la formule de Gonzalez-verdier
- Polar Classes and Segre Classes on Singular Projective Varieties
- Characteristic classes, singular embeddings, and intersection homology
- Espaces de Thom et contre-exemples de J.L. Verdier et M. Goresky
- Algebraic Cycles and Intersection Homology
- Categorical framework for the study of singular spaces
- Stratifiable Maps and Topological Invariants
- A combinatorial formula for the Pontrjagin classes
- Characteristic Classes. (AM-76)
- Index theorem for a maximally overdetermined system of linear differential equations
- A Formula for Stiefel-Whitney Homology Classes
- Polar classes of singular varieties
- AN ADJUNCTION FORMULA FOR LOCAL COMPLETE INTERSECTIONS
- Chern classes for singular hypersurfaces
- Birational Calabi--Yau n-folds have equal Betti numbers
- Genera of algebraic varieties and counting of lattice points
- Curvature Measures of Subanalytic Sets
- Euler obstruction and Lipschitz-Killing curvatures
- The Pro-Chern-Schwartz-MacPherson class for DM stacks
- New orientifold weak coupling limits in F-theory
- The vanishing Euler characteristic of an isolated determinantal singularity
- Algorithms to compute the topological Euler characteristic, Chern-Schwartz-MacPherson class and Segre class of projective varieties
- Motivic and derived motivic Hirzebruch classes
- Minimal Whitney stratification and Euler obstruction of discriminants
- Stiefel-Whitney homology classes of \(Z^ 2\)-Poincaré-Euler spaces
- On indices of 1-forms on determinantal singularities
- A geometric degree formula for \(A\)-discriminants and Euler obstructions of toric varieties
- Equivariant Hirzebruch class for singular varieties
- Lê cycles and Milnor classes
- Erratum to: ``Lê cycles and Milnor classes
- On the triangulation of subanalytic morphisms.
- Intersection homology. II
- Linking pairings on singular spaces
- Cycle maximal et invariant d'Euler local des singularités isolées de surfaces
- Modification systems and integration in their Chow groups
- Hirzebruch classes and motivic Chern classes.
- Chern classes for singular varieties, revisited.
- Stringy Chern classes of singular varieties
- Limits of Chow groups, and a new construction of Chern-Schwartz-MacPherson classes
- On the uniqueness of bivariant Chern class and bivariant Riemann--Roch transformations
- Wu numbers of singular spaces
- Intersection homology Poincaré spaces and the characteristic variety theorem
- Hodge genera and characteristic classes of complex algebraic varieties
- The local Euler obstruction of a function
- Donaldson-Thomas type invariants via microlocal geometry
- Index formula for MacPherson cycles of affine algebraic varieties
- On Grothendieck transformations in Fulton-MacPherson's bivariant theory
- Cobordism of singular maps
- Vector fields on singular varieties
- Axioms for Stiefel-Whitney homology classes of \({\mathbb{Z}}_ 2\)-Euler spaces
- Stiefel-Whitney homology classes and homotopy type of Euler spaces
- Characteristic varieties and vanishing cycles
- Critical points of functions on analytic varieties
- Topological quantum field theory
- Universal Wu classes
- A formula for Segre classes of singular projective varieties
- Cohomologie-Operationen und charakteristische Klassen. (Cohomology operations and characteristic classes)
- Intersection homology theory
- Multiple-point formulas. I: Iteration
- Variétés polaires locales et classes de Chern des variétés singulieres
- Singular spaces, characteristic classes, and intersection homology
- Singularity theory and its applications, Warwick 1989, Part I: Geometric aspects of singularities. Proceedings of a symposium, held at the University of Warwick, UK, during the academic year 1988--89
- \(\mathcal A\)-codimension and the vanishing topology of discriminants
- Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten
- Chern classes for singular algebraic varieties
- Characteristic classes of flags of foliations
- Riemann-Roch for singular varieties
- Stratifications de Whitney et théorème de Bertini-Sard
- On a Verdier-type Riemann-Roch for Chern-Schwartz-MacPherson class
- Curvature measures and Chern classes of singular varieties
- On semi- and subanalytic geometry
- Five-brane effective action in \(M\)-theory
- On the implementation of Lie group methods on the Stiefel manifold
- Euler obstruction and indices of vector fields
- Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups
- On the uniqueness problem of bivariant Chern classes
- Euler obstruction of essentially isolated determinantal singularities
- Chern classes and characteristic cycles of determinantal varieties
- On the contribution of Wu Wen-Tsün to algebraic topology
- Stringy Chern classes of singular toric varieties and their applications
- Stability of the Euler obstruction of a function
- Chern-Schwartz-MacPherson classes of degeneracy loci
- Product formula for twisted MacPherson classes
- Sur la topologie de certains espaces homogenes
- Lifting of algebraic cycles and associated homomorphisms in intersection homology.
- Characteristic forms and geometric invariants
- Computing characteristic classes of projective schemes.
- Elliptic genera of singular varieties.
- Addendum to: ``Bivariant Chern-Schwartz-MacPherson classes with values in Chow groups
- Remarks on the relations between the Italian and American schools of algebraic geometry in the first decades of the 20th century
- Lê cycles and hypersurface singularities
- Stiefel-Whitney homology classes and Euler subspaces
- Singular schemes of hypersurfaces
- Hypercohomology of Milnor fibres
- Polar multiplicities and Euler obstruction for ruled surfaces
- Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function
- Marie-Hélène Schwartz and radial vector fields, a mathematical course
- Brasselet number and function-germs with a one-dimensional critical set
- Image Milnor number formulas for weighted-homogeneous map-germs
- Elliptic classes of Schubert varieties
- Classes caractéristiques pour les cônes projectifs et homologie d'intersection. (Characteristic classes for projective cones and intersection homology)
- The index of a holomorphic flow with an isolated singularity
- Brasselet number and Newton polygons
- Note on MacPherson's local Euler obstruction
- An implementation of the Lê-Teissier method for computing local Euler obstructions
- The Euler obstruction and torus action
- Characteristic classes of symmetric products of complex quasi-projective varieties
- The Euler obstruction of a function on a determinantal variety and on a curve
- Local Euler obstructions of toric varieties
- Lê-Greuel type formula for the Euler obstruction and applications
- Motivic bivariant characteristic classes
- Quadratic functions in geometry, topology, and \(M\)-theory
- Bivariant Chern classes for morphisms with nonsingular target varieties
- Cobordism of maps
- Stiefel-Whitney homology classes
- Global Euler obstruction and polar invariants
- Radial index and Euler obstruction of a 1-form on a singular variety
- Classes de Chern des intersections complètes locales
- Multiplicity of Functions On Singular Varieties
- Functions on Space Curves
- Remarks on Ginzburg’s bivariant Chern classes
- Equivariant Chern-Schwartz-MacPherson classes in partial flag varieties: interpolation and formulae
- Equivariant Characteristic Classes of Singular Complex Algebraic Varieties
- On Cappell-Shaneson's Homology L-Classes of Singular Algebraic Varieties
- Differential forms with logarithmic poles and Chern-Schwartz-MacPherson classes of singular varieties
- On Ginzburg’s bivariant Chern classes
- EULER OBSTRUCTION AND DEFECTS OF FUNCTIONS ON SINGULAR VARIETIES
- Multisingularities, cobordisms, and enumerative geometry
- Looking at bent wires – -codimension and the vanishing topology of parametrized curve singularities
- Chern-Schwartz-Macpherson Classes and the Euler Characteristic of Degeneracy Loci and Special Divisors
- THE BRUCE-ROBERTS NUMBER OF A FUNCTION ON A WEIGHTED HOMOGENEOUS HYPERSURFACE
- Global Euler obstruction, global Brasselet numbers and critical points
- Chern Classes and Transversality for Singular Spaces
- Motivic Chern classes and K‐theoretic stable envelopes
- Segre Classes and Invariants of Singular Varieties
- Milnor Number and Chern Classes for Singular Varieties: An Introduction
- Residues and Hyperfunctions
- Characteristic Classes of Orbit Stratifications, the Axiomatic Approach
- Elliptic classes of Schubert varieties via Bott–Samelson resolution
- Local Euler obstructions and Chern–Mather classes of determinantal varieties
- Motivic Chern classes of configuration spaces
- Motivic Milnor classes
- MOTIVIC BIVARIANT CHARACTERISTIC CLASSES AND RELATED TOPICS
- EQUIVARIANT CHERN CLASSES AND LOCALIZATION THEOREM
- THE CHERN–SCHWARTZ–MACPHERSON CLASS OF AN EMBEDDABLE SCHEME
- Cobordism of maps of locally orientable Witt spaces
- Singularities of Mappings
- Topological field theories on manifolds with Wu structures
- Poincaré-Hopf theorems on singular spaces
- The Multiplicity Polar Theorem, Collections of 1-forms and Chern Numbers
- Nearby cycles and characteristic classes of singular spaces
- Stiefel-Whitney classes and the conormal cycle of a singular variety
- Invariants, equisingularity and Euler obstruction of map germs from ℂnto ℂn
- The Arithmetical Invariants of Algebraic Loci
- On the Characteristic Classes of Riemannian Manifolds
- Computing Euler Obstruction Functions Using Maximum Likelihood Degrees
- Characteristic Classes of Singular Varieties
- Lectures on Characteristic Classes of Constructible Functions
- Thom polynomials, symmetries and incidences of singularities
- Cellular morphism and bivariant Chern classes
- An application of bivariant theory to Milnor classes
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Characteristic Classes