Balanced splittings of Semi-free actions of finite groups on homotopy spheres.
Banachian Differentiable Spaces.
Banding, twisted ribben knots, and producing reducible manifolds via Dehn surgery.
Band-pass moves and the Casson-Walker-Lescop invariant.
Bands, Tangles and linear Skein theory.
Bar complexes and extensions of classical exponential functors
We compute Ext-groups between classical exponential functors (i.e. symmetric, exterior or divided powers) and their Frobenius twists. Our method relies on bar constructions, and bridges these Ext-groups with the homology of Eilenberg-Mac Lane spaces.This article completes earlier results of the author, and provides an alternative approach to classical Ext-computations in the category of strict polynomial functors over fields. We also obtain significant Ext-computations for strict polynomial functors...
Basic polyhedra in knot theory
Batalin-Vilkovisky algebra structures on Hochschild cohomology
Let be any compact simply-connected oriented -dimensional smooth manifold and let be any field. We show that the Gerstenhaber algebra structure on the Hochschild cohomology on the singular cochains of , , extends to a Batalin-Vilkovisky algebra. Such Batalin-Vilkovisky algebra was conjectured to exist and is expected to be isomorphic to the Batalin-Vilkovisky algebra on the free loop space homology on , introduced by Chas and Sullivan. We also show that the negative cyclic cohomology ...
Behavior of knot invariants under genus 2 mutation.
Behavior of the extended complexity of irreducible 3-manifolds.
Belts and k-invariants of link maps in spheres.
Bernstein Theorems for Harmonic Morphisms from R3 and S3.
Betti numbers and Euler's formula for combinatorial foliations.
Bicollared n-manifold in Euclidean space
Bifurcation from relative equilibria of noncompact group actions: Skew products, meanders, and drifts.
Bifurcations and Hamilton's Principle.
Bifurcations de points fixes elliptiques - III. Orbites périodiques de «petites» périodes et élimination résonnante des couples de courbes invariantes
Bi-Legendrian connections
We define the concept of a bi-Legendrian connection associated to a bi-Legendrian structure on an almost -manifold . Among other things, we compute the torsion of this connection and prove that the curvature vanishes along the leaves of the bi-Legendrian structure. Moreover, we prove that if the bi-Legendrian connection is flat, then the bi-Legendrian structure is locally equivalent to the standard structure on .
Bilinear Forms on Manifoids.