Algorithmic compression of surface automorphisms.
All compact manifolds are homeomorphic to totally algebraic real algebraic sets.
All flat manifolds are cusps of hyperbolic orbifolds.
All knots are algebraic.
Almost integral TQFTs from simple Lie algebras.
Amenable groups and Euler characteristic.
Amorces de la chirurgie en dimension quatre : un exotique
Ample Divisors on Fine Moduli Spaces on the Projective Plane.
An acyclic extension of the braid group.
An algebraic construction of the generic singularities of Boardman-Thom
An almost-integral universal Vassiliev invariant of knots.
An analytic proof of Novikov's theorem on rational Pontrjagin classes
An Arzela-Ascoli theorem for immersed submanifolds
The classical Arzela-Ascoli theorem is a compactness result for families of functions depending on bounds on the derivatives of the functions, and is of invaluable use in many fields of mathematics. In this paper, inspired by a result of Corlette, we prove an analogous compactness result for families of immersed submanifolds which depends only on bounds on the derivatives of the second fundamental forms of these submanifolds. We then show how the result of Corlette may be obtained as an immediate...
An asymptotic formula for the eta invariants of hyperbolic 3-manifolds.
An Example of Moduli for Singular Symplec-tic Forms
An example of two homeomorphic, nondiffeomorphic complete intersection surfaces.
An Exotic Orientable 4-Manifold.
An exotic smooth structure on .
An extension theorem for sober spaces and the Goldman topology.
An index inequality for embedded pseudoholomorphic curves in symplectizations
Let be a surface with a symplectic form, let be a symplectomorphism of , and let be the mapping torus of . We show that the dimensions of moduli spaces of embedded pseudoholomorphic curves in , with cylindrical ends asymptotic to periodic orbits of or multiple covers thereof, are bounded from above by an additive relative index. We deduce some compactness results for these moduli spaces. This paper establishes some of the foundations for a program with Michael Thaddeus, to understand...