A noncompact -cobordism theorem
A spectral sequence for orbifold cobordism
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.
An annulus theorem for suspension spheres
Cobordisms and Reidemeister torsions of homotopy lens spaces.
Collared cospans, cohomotopy and TQFT. (Cospans in algebraic topology. II).
Deformation of Maps to Branched Coverings in Dimension Three.
Exponential separation in 4-manifolds.
h-cobordism and s-cobordism Theorems: Transfer over Semialgebraic and Nash Categories, Uniform bound and Effectiveness
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
Manifolds with a special type of conelike singularities.
Non-slice linear combinations of algebraic knots
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.
Note on the mappings of complex projective spaces
On for dimensional s-cobordisms, II.
Polyhedral-shape concordance implying homeomorphic complements
Realizing Homology Classes by Almost-Complex Submanifolds.
Seifert forms and concordance.
Stable shape concordance implies homeomorphic complements
Subexponential groups in 4-manifold topology.