By Abbas Bahri
This textual content contains a cautious therapy of movement traces and algebraic invariants involved shape geometry, an unlimited quarter of study hooked up to symplectic box idea, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). particularly, it develops a singular algebraic software during this box: rooted within the proposal of serious issues at infinity, the recent algebraic invariants outlined listed below are helpful within the research of touch buildings and Reeb vector fields. The booklet opens with a assessment of past effects after which proceeds via an exam of variational difficulties, non-Fredholm habit, real and fake severe issues at infinity, and topological implications. An expanding convergence with typical and singular Yamabe-type difficulties is mentioned, and the intersection among touch shape and Riemannian geometry is emphasised. wealthy in open difficulties and whole, unique proofs, this paintings lays the basis for brand spanking new avenues of research in touch shape geometry and may profit graduate scholars and researchers.
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Flow Lines and Algebraic Invariants in Contact Form Geometry (Progress in Nonlinear Differential Equations and Their Applications) by Abbas Bahri
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