Pseudo-holomorphic functions at the critical exponent
نویسندگان
چکیده
منابع مشابه
Critical Exponent for Gap Filling at Crisis.
A crisis in chaotic dynamical systems is characterized by the conversion of a nonattracting, Cantorset-like chaotic saddle into a chaotic attractor. The gaps in between various pieces of the chaotic saddle are densely filled after the crisis. We give a quantitative scaling theory for the growth of the topological entropy for a major class of crises, the interior crisis. The theory is confirmed ...
متن کاملPart 2: Pseudo-holomorphic Curves
1. Properties of J-holomorphic curves 1 1.1. Basic definitions 1 1.2. Unique continuation and critical points 5 1.3. Simple curves 8 1.4. Adjunction inequality 9 2. Gromov compactness 12 2.1. Gromov compactness theorem 12 2.2. Energy estimate and bubbling 15 2.3. The isoperimetric inequality 19 2.4. Bubbles connect 22 3. Moduli spaces of J-holomorphic curves 25 3.1. The Fredholm setup 25 3.2. T...
متن کاملPseudo-holomorphic and Algebraic Classifications
Almost all known restrictions on the topology of nonsingular real algebraic curves in the projective plane are also valid for a wider class of objects: real pseudo-holomorphic curves. It is still unknown if there exists a nonsingular real pseudo-holomorphic curve not isotopic in the projective plane to a real algebraic curve of the same degree. In this article, we focus our study on symmetric r...
متن کاملPseudo-holomorphic Curves and the Weinstein Conjecture
Let S ⊂ (N,ω) be a hypersurface in a symplectic manifold. The characteristic distribution LS on S consists of the tangent vectors v ∈ TS such that i(v)ωS = 0, where ωS is the pull back of ω to S. The flow lines generated by a vector field in LS are called characteristics. S ⊂ (N,ω) is said to be of contact type if there is a 1-form α on S such that dα = ωS and α(v) 6= 0 for any v 6= 0 in LS. Th...
متن کاملFrom Holomorphic Functions to Holomorphic Sections
It is a pleasure to have the opportunity in the graduate colloquium to introduce my research field. I am a differential geometer. To be more precise, I am a complex differential geometer, although I am equally interested in real differential geometry. To many people, geometry is a kind of mathematics that is related to length, area, volume, etc. For the Euclidean geometry, this is indeed the ca...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the European Mathematical Society
سال: 2016
ISSN: 1435-9855
DOI: 10.4171/jems/634