A Riemann-Roch theorem for differentiable manifolds
A search method for thin positions of links.
A secondary Chern-Euler class.
A self-linking invariant of virtual knots
This paper introduces a self-linking invariant for virtual knots and links, and relates this invariant to a state model called the binary bracket, and to a class of coloring problems for knots and links that include classical coloring problems for cubic graphs.
A Semigroup of Simple Homotopy Types.
A semi-simplicial approach to foliations and their transverse structure [Book]
A set of axioms for the degree of a tangent vector field on differentiable manifolds.
A set of moves for Johansson representation of 3-manifolds
A Dehn sphere Σ in a closed 3-manifold M is a 2-sphere immersed in M with only double curve and triple point singularities. The Dehn sphere Σ fills M if it defines a cell decomposition of M. The inverse image in S² of the double curves of Σ is the Johansson diagram of Σ and if Σ fills M it is possible to reconstruct M from the diagram. A Johansson representation of M is the Johansson diagram of a filling Dehn sphere of M. Montesinos proved that every closed 3-manifold has a Johansson representation...
A Sharp Bound for the Number of Points where a Rank 3 Stable Reflexive Sheaf is not Free.
A short introduction to shadows of 4-manifolds
We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.
A short proof of Eilenberg and Moore’s theorem
In this paper we give a short and simple proof the following theorem of S. Eilenberg and J.C. Moore: the only injective object in the category of groups is the trivial group.
A short proof of the uniqueness of Kühnel's 9-vertex complex projective plane.
A simpler construction of volume polynomials for a polyhedron.
A singular Riemann-Roch for Hirzebruch characteristics
A special type of triangulations in numerical nonlinear analysis.
To calculate the zeros of a map f : Rn → Rn we consider the class of triangulations of Rn so that a certain point belongs to a simplex of fixed diameter and dimension. In this paper two types of this new class of triangulations are constructed and shown to be useful to calculate zeros of piecewise linear approximations of f.
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,...
A spelling theorem for staggered generalized 2-complexes, with applications.
A Splicing formula for Casson-Walker's invariant.
A split exact sequence of Mackey functors.
A splitting formula for the spectral flow of the odd signature operator on 3-manifolds coupled to a path of connections.