The push-out space of immersed spheres.
The rational homotopy of Thom spaces and the smoothing of homology classes.
The rational homotopy of Thom spaces and the smoothing of isolated singularities
Rational homotopy methods are used for studying the problem of the topological smoothing of complex algebraic isolated singularities. It is shown that one may always find a suitable covering which is smoothable. The problem of the topological smoothing (including the complex normal structure) for conical singularities is considered in the sequel. A connection is established between the existence of certain relations between the normal Chern degrees of a smooth projective variety and the question...
The reduction of quantum invariants of 4-thickenings
We study the sensibility of an invariant of 2-dimensional CW complexes in the case when it comes as a reduction (through a change of ring) of a modular invariant of 4-dimensional thickenings of such complexes: it is shown that if the Euler characteristic of the 2-complex is greater than or equal to 1, its invariant depends only on homology. To see what is happening when the Euler characteristic is smaller than 1, we use ideas of Kerler and construct, from any tortile category, an invariant of 4-thickenings...
The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces
The Second Homology Group of the Mapping Class Group of an Orientable Surface.
The secondary characteristic classes of parabolic foliations.
The Seiberg-Witten invariants and 4-manifolds with essential tori.
The Seiberg–Witten invariants of negative definite plumbed 3-manifolds
Assume that is a connected negative definite plumbing graph, and that the associated plumbed 3-manifold is a rational homology sphere. We provide two new combinatorial formulae for the Seiberg–Witten invariant of . The first one is the constant term of a ‘multivariable Hilbert polynomial’, it reflects in a conceptual way the structure of the graph , and emphasizes the subtle parallelism between these topological invariants and the analytic invariants of normal surface singularities. The second...
The Seiberg-Witten invariants of symplectic four-manifolds
The sigma orientation for analytic circle-equivariant elliptic cohomology.
The Signature Defect and the Homotopy of BPL and PL/O
The Signature mod 8
The Signature of Milnor Fibres and Duality Theorem for Strongly Pseudoconvex Manifolds.
The Signature of Quasi-Nilpotent Fiber Bundles
The Smale invariant of a knot.
The smooth Whitehead spectrum of a point at odd regular primes.
The space of clouds in Euclidean space.
The ...-Spectrum for Brown-Peterson Cohomology. Part I
The stable homology of flat torus.