A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.
A high-order helicity invariant and the Rokhlin theorem
A Hilbert cube compactification of the space of retractions of the interval
A homological characterization of foliations consisting of minimal surfaces.
A homological selection theorem implying a division theorem for Q-manifolds
We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and afterward...
A Homology Transfer for a Class of Simplicial Maps.
A homotopy theoretic characterization of the translation in
A Hopf Inequality for Branch Sets.
A Jones polynomial for braid-like isotopies of oriented links and its categorification.
A Kleinian group with contractible quotient not simply connected at infinity.
A Lagrangian representation of tangles II
The present paper is a continuation of our previous paper [Topology 44 (2005), 747-767], where we extended the Burau representation to oriented tangles. We now study further properties of this construction.
A lantern lemma.
A lattice of finite-type invariants of virtual knots
We construct an infinite commutative lattice of groups whose dual spaces give Kauffman finite-type invariants of long virtual knots. The lattice is based "horizontally" upon the Polyak algebra and extended "vertically" using Manturov's functorial map f. For each n, the n-th vertical line in the lattice contains an infinite-dimensional subspace of Kauffman finite-type invariants of degree n. Moreover, the lattice contains infinitely many inequivalent extensions of the Conway polynomial to long virtual...
A Legendrian Thurston-Bennequin bound from Khovanov homology.
A Leibniz algebra structure on the second tensor power.
A linearity theorem for group actions on spheres with applications to homotopy representations.
A LIP Immersion of Lipschitz Manifolds Modelled on Some Banach Spaces
A local modification to monopole equations in 8-dimension.
A Localization Theorem for Functional S1-Spaces.
A locally connected non-movable continuum that fails to separate