Self-intersection class for singularities and its application to fold maps

DOI10.1090/S0002-9947-03-03345-2zbMath1028.57029MaRDI QIDQ4417291

Kazuhiro Sakuma, Toru Ohmoto, Osamu Saeki

Publication date: 28 July 2003

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Thom polynomialPontrjagin classsubmersionsfold mapself-intersection classincident classtwisted coefficient

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Immersions in differential topology (57R42)

Related Items (7)

Elimination of singularities of smooth mappings of 4-manifolds into 3-manifolds ⋮ Fibration of classifying spaces in the cobordism theory of singular maps ⋮ Fold maps on small dimensional manifolds with prescribed singular set ⋮ Fold maps, framed immersions and smooth structures ⋮ Singular fibers of stable maps and signatures of 4-manifolds ⋮ On self-intersection of singularity sets of fold maps ⋮ Characteristic classes and existence of singular maps

Cites Work

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• Immersions of Manifolds
• Characteristic Classes. (AM-76)
• Maps with only Morin singularities and the Hopf invariant one problem
• Remarks on the Topology of Folds
• Studying the topology of Morin singularities from a global viewpoint
• On a Diophantine Equation
• Thom polynomials, symmetries and incidences of singularities

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