Functors and computations in Floer homology with applications, I

C Viterbo - Geometric & Functional Analysis GAFA, 1999 - Springer
This paper is concerned with Floer cohomology of manifolds with contact type boundary. In
this case, there is no conjecture on this ring, as opposed to the compact case, where it is …

[图书][B] Minimal surfaces from a complex analytic viewpoint

A Alarcón, F Forstnerič, FJ López - 2021 - Springer
As suggested by the title, this book treats the classical theory of minimal surfaces in
Euclidean spaces by complex analytic methods. The connection between these two subjects …

[图书][B] Polynomial convexity

EL Stout - 2007 - books.google.com
This book is devoted to an exposition of the theory of polynomially convex sets. Acompact N
subset of C is polynomially convex if it is de? ned by a family,? nite or in? nite, of polynomial …

[图书][B] Several complex variables and Banach algebras

H Alexander, J Wermer - 1998 - books.google.com
Many connections have been found between the theory of analytic functions of one or more
complex variables and the study of commutative Banach algebras. While function theory has …

Regularization of currents and entropy

TC Dinh, N Sibony - Annales scientifiques de l'Ecole normale supérieure, 2004 - Elsevier
Let T be a positive closed (p, p)-current on a compact Kähler manifold X. We prove the
existence of smooth positive closed (p, p)-forms Tn+ and Tn− such that Tn+− Tn−→ T …

The∂-equation on a positive current

B Berndtsson, N Sibony - Inventiones mathematicae, 2002 - Springer
We study the induced¯∂-equation on a positive current in a complex manifold. We extend
the L 2-estimates for the¯∂-equation to harmonic currents of bidimension (1, 1), satisfying a …

Recent advances in symplectic flexibility

Y Eliashberg - Bulletin of the American Mathematical Society, 2015 - ams.org
Flexible and rigid methods coexisted in symplectic topology from its inception. While the
rigid methods dominated the development of the subject during the last three decades, the …

Hénon-like mappings in [inline-graphic xmlns: xlink=" http://www. w3. org/1999/xlink" xlink: href=" 01i"/]

R Dujardin - American journal of mathematics, 2004 - muse.jhu.edu
We study the dynamics of a class of nonalgebraic holomorphic diffeomorphisms, topological
analogues in the unit bidisk of complex Hénon mappings in [inline-graphic xmlns: xlink=" …

Suites d'applications méromorphes multivaluées et courants laminaires

TC Dinh - The Journal of Geometric Analysis, 2005 - Springer
Abstract Let F n: X 1→ X 2 be a sequence of (multivalued) meromorphic maps between
compact Kähler manifolds. We study the asymptotic distribution of preimages of points by F n …

On defining functions and cores for unbounded domains I

T Harz, N Shcherbina, G Tomassini - Mathematische Zeitschrift, 2017 - Springer
We show that every strictly pseudoconvex domain Ω Ω with smooth boundary in a complex
manifold MM admits a global defining function, ie, a smooth plurisubharmonic function φ: U …