22 citations · 36 across the 4 of their papers we have counts for
5 papers
Fibered Cohomology Classes in Dimension Three, Twisted Alexander Polynomials and Novikov Homology
Jean-Claude Sikorav
We prove that for "most" closed 3-dimensional manifolds , the existence of a closed non singular one-form in a given cohomology class is equivalent to the f…
Bounds on primitives of differential forms and cofilling inequalities
Jean-Claude Sikorav
We prove that on a Riemannian manifold, a smooth differential form has a primitive with a given (functional) upper bound provided the necessary weighted isoperimetric inequalities…
A linear isoperimetric inequality for the punctured Euclidean plane
Leonid Polterovich, Jean-Claude Sikorav
It follows from a general theorem of Bonk and Eremenko that closed plane curves which are contractible in the complement to the integral lattice satisfy a linear isoperimetric ineq…
The gluing construction for normally generic J-holomorphic curves
Jean-Claude Sikorav
Under an assumption of normal genericity, we show that a stable J-holomorphic curve has, in the space of homologous curves of the same genus, a locally Euclidean neighbourhood of t…
Dual elliptic structures on CP2
Jean-Claude Sikorav
We consider an almost complex structure J on CP2, or more generally an elliptic structure E which is tamed by the standard symplectic structure. An E-curve is a surface tangent to…