An extension to fields of positive characteristic of Mather's construction of the Thom-Boardman sequence
An idempotent for a Jordanian quantum complex sphere
A new Jordanian quantum complex 4-sphere together with an instanton-type idempotent is obtained as a suspension of the Jordanian quantum group .
An immersion of a differential space in a Cartesian space
An implicit function theorem in Banach spaces
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...
An inequality which arises in the absence of the mountain pass geometry.
An integral operator representation of classical periodic pseudodifferential operators.
An intrinsic definition of the Dirac operator.
An introduction to algebraic K-theory
This paper gives an exposition of algebraic K-theory, which studies functors , an integer. Classically introduced by Bass in the mid 60’s (based on ideas of Grothendieck and others) and introduced by Milnor [Introduction to algebraic K-theory, Annals of Math. Studies, 72, Princeton University Press, 1971: Zbl 0237.18005]. These functors are defined and applications to topological K-theory (Swan), number theory, topology and geometry (the Wall finiteness obstruction to a CW-complex being finite,...
An introduction to loopoids
We discuss a concept of loopoid as a non-associative generalization of Brandt groupoid. We introduce and study also an interesting class of more general objects which we call semiloopoids. A differential version of loopoids is intended as a framework for Lagrangian discrete mechanics.
An inverse function theorem for Frechet spaces
An inverse function theorem in Fréchet spaces without smoothing operators
An inverse problem in the economic theory of demand
An isomorphism form intersection homology to Lp-cohomology.
An -isolation theorem for Yang-Mills fields
An -isolation theorem for Yang-Mills fields over complete manifolds
An L...-Estimate for the gradient of extremals.
An open mapping theorem for analytic multifunctions
The paper gives sufficient conditions for projections of certain pseudoconcave sets to be open. More specifically, it is shown that the range of an analytic set-valued function whose values are simply connected planar continua is open, provided there does not exist a point which belongs to boundaries of all the fibers. The main tool is a theorem on existence of analytic discs in certain polynomially convex hulls, obtained earlier by the author.
An operator theoretic approach to stochastic flows on manifolds
An optimal estimate for the singular set of a harmonic map in the free boundary.