The compactification of moduli spaces of J-holomorphic curves in al-most complex manifolds with cylindrical ends is crucial in Symplectic Field Theory. One natural generalization is to replace “cylindrical ” by “asymptotically cylindrical”. In this article we generalize the compactness results from [14, 15, 4, 5] to this setting. As an application, we study the relation between the moduli spaces of J-holomorphic polygons before and after the Lagrangian surgery established in [11] in a more general settin
We develop techniques for defining and working with fundamental cycles on mod-uli spaces of J-holomo...
We study the moduli space of J-holomorphic subvarieties in a 4-dimensional symplectic manifold. For ...
In this paper, we prove that if the area functional of a surface in a symplectic manifold has a cri...
Let (X,ω) be a compact symplectic manifold and L be a Lagrangian submanifold. Suppose (X,L) has a Ha...
H−holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equatio...
Abstract. In this paper, we establish general stratawise higher jet evalu-ation transversality of J-...
This thesis comprises the study of two moduli spaces of piecewise J-holomorphic curves. The main sch...
This thesis covers four results: 1. We prove an analog of Whitney's embedding theorem for J-holomor...
We describe the singular locus of the compactification of the moduli space Rg,` of curves of genus g...
This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algeb...
Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were hig...
We discuss the deformation theory of special Lagrangian (SL) conifolds in C^m. Conifolds are a key i...
This book aims to study several aspects of moduli theory from a complex analytic point of view. Chap...
The construction of manifold structures and fundamental classes on the (compactified) moduli spaces ...
This book provides an introduction to symplectic field theory, a new and important subject which is ...
We develop techniques for defining and working with fundamental cycles on mod-uli spaces of J-holomo...
We study the moduli space of J-holomorphic subvarieties in a 4-dimensional symplectic manifold. For ...
In this paper, we prove that if the area functional of a surface in a symplectic manifold has a cri...
Let (X,ω) be a compact symplectic manifold and L be a Lagrangian submanifold. Suppose (X,L) has a Ha...
H−holomorphic curves are solutions of a specific modification of the pseudoholomorphic curve equatio...
Abstract. In this paper, we establish general stratawise higher jet evalu-ation transversality of J-...
This thesis comprises the study of two moduli spaces of piecewise J-holomorphic curves. The main sch...
This thesis covers four results: 1. We prove an analog of Whitney's embedding theorem for J-holomor...
We describe the singular locus of the compactification of the moduli space Rg,` of curves of genus g...
This book offers a concise yet thorough introduction to the notion of moduli spaces of complex algeb...
Several important aspects of moduli spaces and irreducible holomorphic symplectic manifolds were hig...
We discuss the deformation theory of special Lagrangian (SL) conifolds in C^m. Conifolds are a key i...
This book aims to study several aspects of moduli theory from a complex analytic point of view. Chap...
The construction of manifold structures and fundamental classes on the (compactified) moduli spaces ...
This book provides an introduction to symplectic field theory, a new and important subject which is ...
We develop techniques for defining and working with fundamental cycles on mod-uli spaces of J-holomo...
We study the moduli space of J-holomorphic subvarieties in a 4-dimensional symplectic manifold. For ...
In this paper, we prove that if the area functional of a surface in a symplectic manifold has a cri...