The Identity Component of the Leaf Preserving Diffeomorphism Group is Perfect.
The Image of the Atiyah-Bott Map.
The incidence submanifold of for odd is nonorientable
The index of analytic vector fields and Newton polyhedra
We prove that if f:(ℝⁿ,0) → (ℝⁿ,0) is an analytic map germ such that and f satisfies a certain non-degeneracy condition with respect to a Newton polyhedron Γ₊ ⊆ ℝⁿ, then the index of f only depends on the principal parts of f with respect to the compact faces of Γ₊. In particular, we obtain a known result on the index of semi-weighted-homogeneous map germs. We also discuss non-degenerate vector fields in the sense of Khovanskiĭand special applications of our results to planar analytic vector fields....
The index of discontinuous vector fields.
The Index of Manifolds with Toral Actions and Geometric Interpretations of the ... (..., (S1, Mn)) Invariant of Atiyah and Singer.
The index of signature operators on Lipschitz manifolds
The ...-injectivity of self-maps of nonzero degree on 3-manifolds.
The integral cohomology rings of real infinite-dimensional flag manifolds
The integral homology of SL2 and PSL2 of euclidean imaginary quadratic integers.
The integral weight system for torus actions on spheres with no fixed point.
The interplay between linear representations of the braid group.
The Intersection Matrix of Brieskorn Singularities.
The Irregularities of Hirzebruch's Examples of Surfaces of General Type with c21= 3c2 .
The isometry groups of riemannian manifolds admitting strictly convex functions
The isomorphism problem for toral relatively hyperbolic groups
We provide a solution to the isomorphism problem for torsion-free relatively hyperbolic groups with abelian parabolics. As special cases we recover solutions to the isomorphism problem for: (i) torsion-free hyperbolic groups (Sela, [60] and unpublished); and (ii) finitely generated fully residually free groups (Bumagin, Kharlampovich and Miasnikov [14]). We also give a solution to the homeomorphism problem for finite volume hyperbolic -manifolds, for . In the course of the proof of the main result,...
The Jeffrey-Kirwan localization theorem and residue operations in equivariant cohomology.
The Jones polynomial, genus and weak genus of a knot
The Jones-Witten invariants of knots
The Kahn-Priddy Theorem and Equivariant Vector Fields on Spheres.