Cobordism of singular maps

DOI10.2140/gt.2008.12.2379zbMath1210.57028arXivmath/0612152OpenAlexW2129554952MaRDI QIDQ1006113

András Szűcs

Publication date: 19 March 2009

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

Full work available at URL: https://arxiv.org/abs/math/0612152

zbMATH Keywords

cobordismPontrjagin-Thom constructionsingular mapKazarian spectral sequence

Mathematics Subject Classification ID

Classification of homotopy type (55P15) Stable homotopy theory, spectra (55P42) Singularities of differentiable mappings in differential topology (57R45) Other types of cobordism (57R90) Immersions in differential topology (57R42)

Related Items

Characteristic Classes, Fibration of classifying spaces in the cobordism theory of singular maps, Classifying spaces for projections of immersions with controlled singularities, Cusp cobordism group of Morse functions, Bordism groups of fold maps, Analogues of the Atiyah-Wall exact sequences for cobordism groups of singular maps, Cobordism group of Morse functions on surfaces with boundary, Fold maps, framed immersions and smooth structures, Calculation of the obstruction ideals of Morin maps, Multiplicative properties of Morin maps, Cobordisms of maps with singularities of given class, Cobordism of Morse maps and its application to map germs, Bordism groups of solutions to differential relations, Fold cobordisms and a Poincaré-Hopf-type theorem for the signature

Cites Work

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• Multiplicative properties of Morin maps
• Bordism groups of solutions to differential relations
• Singularity theory and configuration space models of \(\Omega ^ nS^ n\) of non-connected spaces
• Vector fields and other vector bundle morphisms - a singularity approach
• \(\Gamma^+\)-structures. I: A free group functor for stable homotopy theory
• On the cobordism group of Morin maps
• Pontrjagin-Thom-type construction for maps with singularities
• Exponents for extraordinary homology groups
• Cobordism group of Morse functions on surfaces
• The compression theorem I
• Cobordism group of Morse functions on manifolds
• Topology of singular fibers of differentiable maps
• Stability of \(C^ \infty\) mappings. IV: Classification of stable germs by R-algebras
• Cobordismes de plongements et produits homotopiques. (Cobordisms of embeddings and homotopic products)
• Groupes d'homotopie et classes de groupes abéliens
• Quelques propriétés globales des variétés différentiables
• On the cobordism groups of immersions and embeddings
• Partial Differential Relations
• A Second note on Symmetry of Singularities
• Characteristic Classes. (AM-76)
• Topology of ∑1, 1-singular maps
• COBORDISMS OF FOLD MAPS AND MAPS WITH A PRESCRIBED NUMBER OF CUSPS
• COBORDISM GROUP OF MORSE FUNCTIONS ON UNORIENTED SURFACES
• Cobordism groups of immersions
• Symmetry properties of singularities of \(C^\infty\)-functions