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portada flow lines and algebraic invariants in contact form geometry
flow lines and algebraic invariants in contact form geometryflow lines and algebraic invariants in contact form geometry
Type
Physical Book
Publisher
Author
Language
English
Pages
219
ISBN
0817643184
ISBN13
9780817643188

flow lines and algebraic invariants in contact form geometry

Bahri (Author) · Springer · Physical Book

flow lines and algebraic invariants in contact form geometry - bahri

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Synopsis "flow lines and algebraic invariants in contact form geometry"

this text features a careful treatment of flow lines and algebraic invariants in contact form geometry, a vast area of research connected to symplectic field theory, pseudo-holomorphic curves, and gromov-witten invariants (contact homology). in particular, it develops a novel algebraic tool in this field: rooted in the concept of critical points at infinity, the new algebraic invariants defined here are useful in the investigation of contact structures and reeb vector fields. the book opens with a review of prior results and then proceeds through an examination of variational problems, non-fredholm behavior, true and false critical points at infinity, and topological implications. an increasing convergence with regular and singular yamabe-type problems is discussed, and the intersection between contact form and riemannian geometry is emphasized. rich in open problems and full, detailed proofs, this work lays the foundation for new avenues of study in contact form geometry and will benefit graduate students and researchers.

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