A noncompact -cobordism theorem
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A spectral sequence for orbifold cobordism
Andrés Ángel (2009)
Banach Center Publications
The aim of this paper is to introduce a spectral sequence that converges to the cobordism groups of orbifolds with given isotropy representations. In good cases the E¹-term of this spectral sequence is given by a certain cobordism group of orbibundles over purely ineffective orbifolds which can be identified with the bordism group of the classifying space of the Weyl group of a finite subgroup of O(n). We use this spectral sequence to calculate some cobordism groups of orbifolds for low dimensions,...
Alexander duality, gropes and link homotopy.
Krushkal, Vyacheslav S., Teichner, Peter (1997)
Geometry & Topology
An annulus theorem for suspension spheres
Ronald Rosen (1976)
Fundamenta Mathematicae
Cobordisms and Reidemeister torsions of homotopy lens spaces.
Gadgil, Siddhartha (2001)
Geometry & Topology
Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II).
Grandis, Marco (2007)
Theory and Applications of Categories [electronic only]
Deformation of Maps to Branched Coverings in Dimension Three.
Allan L. Edmonds (1979)
Mathematische Annalen
Exponential separation in 4-manifolds.
Krushkal, Vyacheslav S. (2000)
Geometry & Topology
h-cobordism and s-cobordism Theorems: Transfer over Semialgebraic and Nash Categories, Uniform bound and Effectiveness
Mady Demdah Kartoue (2011)
Annales de l’institut Fourier
The h-cobordism theorem is a noted theorem in differential and PL topology. A generalization of the h-cobordism theorem for possibly non simply connected manifolds is the so called s-cobordism theorem. In this paper, we prove semialgebraic and Nash versions of these theorems. That is, starting with semialgebraic or Nash cobordism data, we get a semialgebraic homeomorphism (respectively a Nash diffeomorphism). The main tools used are semialgebraic triangulation and Nash approximation.One aspect of...
Link concordance, homology cobordism, and Hirzebruch-type defects from iterated p-covers
Jae Choon Cha (2010)
Journal of the European Mathematical Society
Manifolds with a special type of conelike singularities.
Marcel Bökstedt, Soren Vagner (1983)
Mathematica Scandinavica
Non-slice linear combinations of algebraic knots
Matthew Hedden, Paul Kirk, Charles Livingston (2012)
Journal of the European Mathematical Society
We show that the subgroup of the knot concordance group generated by links of isolated complex singularities intersects the subgroup of algebraically slice knots in an infinite rank subgroup.
Note on the Casson-Gordon Invariant of a Satellite Knot.
Hamid Abchir (1996)
Manuscripta mathematica
Note on the mappings of complex projective spaces
András Szücs (1999)
Mathematica Slovaca
On for dimensional s-cobordisms, II.
J.L. Shaneson, Sylvain E. Cappell (1989)
Commentarii mathematici Helvetici
Polyhedral-shape concordance implying homeomorphic complements
Vo-Thanh Liem (1985)
Fundamenta Mathematicae
Realizing Homology Classes by Almost-Complex Submanifolds.
Elmer Rees, Emery Thomas (1980)
Mathematische Zeitschrift
Seifert forms and concordance.
Livingston, Charles (2002)
Geometry & Topology
Stable shape concordance implies homeomorphic complements
Vo-Thanh Liem, Gerard Venema (1986)
Fundamenta Mathematicae
Subexponential groups in 4-manifold topology.
Krushkal, Vyacheslav S., Quinn, Frank (2000)
Geometry & Topology
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