In this short note, we collect the basic facts of Riemannian geometry necessary for gluing pseu-doholomorphic curves in symplectic geometry via the method of [LT]. Proofs of these facts are omitted in [LT], but only an estimate similar to that of Proposition 2.11 seems to have a well-known proof; see [F]. The estimates given here are actually sharper than needed in [LT] or even in [Z]
Abstract. We shall give the geometric definition of several holomorphic curve invariants for symplec...
This is a set of expository lecture notes created originally for a graduate course on holomorphic cu...
A taming symplectic structure provides an upper bound on the area of an approximately pseudoholomorp...
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves i...
The method of « pseudoholomorphic » curves proved itself to be extremely useful in different fields....
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov\u2...
We give a proof of the theorem of removing isolated singularities of pseudo-holomorphic curves with ...
This paper studies first the differential inequalities that make it possible to build a global theo...
Abstract. The purpose of these notes is a more self-contained presentation of the results of the aut...
Although our main interest here is developing an appropriate analog, for diffeological vector pseudo...
AbstractWe introduce a novel and constructive definition of gluing data, and give the first rigorous...
We develop the gluing theory of contact instantons in the context of open strings and in the context...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
For each contact diffeomorphism φ: (Q, ζ) → (Q, ζ) of (Q, ζ), we equip its mapping torus Mφ with a l...
Abstract. We shall give the geometric definition of several holomorphic curve invariants for symplec...
This is a set of expository lecture notes created originally for a graduate course on holomorphic cu...
A taming symplectic structure provides an upper bound on the area of an approximately pseudoholomorp...
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves i...
The method of « pseudoholomorphic » curves proved itself to be extremely useful in different fields....
A pseudoholomorphic curve, or J-holomorphic curve, is a differentiable map from a Riemann surface to...
We prove Gromov compactness results for pseudoholomorphic curves (with boundary) following Gromov\u2...
We give a proof of the theorem of removing isolated singularities of pseudo-holomorphic curves with ...
This paper studies first the differential inequalities that make it possible to build a global theo...
Abstract. The purpose of these notes is a more self-contained presentation of the results of the aut...
Although our main interest here is developing an appropriate analog, for diffeological vector pseudo...
AbstractWe introduce a novel and constructive definition of gluing data, and give the first rigorous...
We develop the gluing theory of contact instantons in the context of open strings and in the context...
Treballs finals del Màster en Matemàtica Avançada, Facultat de matemàtiques, Universitat de Barcelon...
For each contact diffeomorphism φ: (Q, ζ) → (Q, ζ) of (Q, ζ), we equip its mapping torus Mφ with a l...
Abstract. We shall give the geometric definition of several holomorphic curve invariants for symplec...
This is a set of expository lecture notes created originally for a graduate course on holomorphic cu...
A taming symplectic structure provides an upper bound on the area of an approximately pseudoholomorp...