By Abbas Bahri
This textual content incorporates a cautious remedy of move traces and algebraic invariants in touch shape geometry, an unlimited quarter of study attached to symplectic box conception, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). specifically, it develops a unique algebraic instrument during this box: rooted within the notion of severe issues at infinity, the recent algebraic invariants outlined listed below are precious within the research of touch constructions and Reeb vector fields. The ebook opens with a evaluate of previous effects after which proceeds via an exam of variational difficulties, non-Fredholm habit, precise and fake serious 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 entire, exact proofs, this paintings lays the root for brand new avenues of analysis in touch shape geometry and should 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