By Abbas Bahri
This textual content incorporates a cautious therapy of stream traces and algebraic invariants involved shape geometry, an unlimited zone of study attached to symplectic box conception, pseudo-holomorphic curves, and Gromov-Witten invariants (contact homology). specifically, it develops a singular algebraic software during this box: rooted within the thought of severe issues at infinity, the recent algebraic invariants outlined listed below are important within the research of touch buildings and Reeb vector fields. The ebook opens with a evaluation of earlier effects after which proceeds via an exam of variational difficulties, non-Fredholm habit, actual and fake serious issues at infinity, and topological implications. An expanding convergence with common and singular Yamabe-type difficulties is mentioned, and the intersection among touch shape and Riemannian geometry is emphasised. wealthy in open difficulties and whole, specific proofs, this paintings lays the basis for brand new avenues of analysis in touch shape geometry and should profit graduate scholars and researchers.
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