Definition of Pseudoholomorphic. Meaning of Pseudoholomorphic. Synonyms of Pseudoholomorphic

Here you will find one or more explanations in English for the word Pseudoholomorphic. Also in the bottom left of the page several parts of wikipedia pages related to the word Pseudoholomorphic and, of course, Pseudoholomorphic synonyms and on the right images related to the word Pseudoholomorphic.

Definition of Pseudoholomorphic

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Meaning of Pseudoholomorphic from wikipedia

- In mathematics, specifically in topology and geometry, a pseudoholomorphic curve (or J-holomorphic curve) is a smooth map, from a Riemann surface into...
- invariants are rational numbers that, in certain situations, count pseudoholomorphic curves meeting prescribed conditions in a given symplectic manifold...
- homology class in X {\displaystyle X} . Then one may consider the set of pseudoholomorphic curves ( ( C , j ) , f , ( x 1 , … , x n ) ) {\displaystyle ((C,j)...
- geometry and pseudoholomorphic curves in symplectic geometry: Geodesics are curves of shortest length (locally), while pseudoholomorphic curves are surfaces...
- More precisely, they intersect if they are connected via one or more pseudoholomorphic curves. Gromov–Witten invariants, which count these curves, appear...
- loops) to the symplectic manifold of interest; solutions are known as pseudoholomorphic curves. The Gromov compactness theorem is then used to show that the...
- symplectic topology and gauge theory, and they are known for work on pseudoholomorphic quilts. With Dusa McDuff, they have challenged the foundational rigor...
- and general relativity Institutions Princeton University Thesis Pseudoholomorphic Curves in Almost Complex Manifolds  (1999) Doctoral advisor Lev Vil'evich...
- the product of spheres, can be computed using Gromov's theory of pseudoholomorphic curves. Unlike Riemannian manifolds, symplectic manifolds are not...
- of pseudoholomorphic curves in an almost complex manifold with a uniform energy bound must have a subsequence which limits to a pseudoholomorphic curve...