Oriented bordism of codimension one immersions of 7-manifolds and relative Thom polynomials

DOI10.1007/s00209-011-0923-6zbMath1270.57072OpenAlexW2061441712MaRDI QIDQ455640

Masamichi Takase

Publication date: 22 October 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-011-0923-6

zbMATH Keywords

cobordismimmersion7-manifoldrelative Thom polynomialsingular Seifert surface

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Singularities of differentiable mappings in differential topology (57R45) Other types of cobordism (57R90) Immersions in differential topology (57R42) Stable homotopy of spheres (55Q45)

Cites Work

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• Stable homotopy groups of spheres and higher singularities
• The Smale invariant of a knot
• Thom polynomials with integer coefficients
• Geometric formulas for Smale invariants of codimension two immersions
• On the groups \(J(X)\). IV
• The relation of cobordism to K-theories
• Le calcul des classes duales aux singularites de Boardman d'ordre deux
• Singular Seifert surfaces and Smale invariants for a family of 3-sphere immersions
• An Ekholm-Szűcs-type formula for codimension one immersions of 3-manifolds up to bordism
• Spectral asymmetry and Riemannian geometry. II
• Relative Characteristic Classes
• Cobordism groups of immersions

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