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Lecture Notes on Embedded Contact Homology by Michael Hutchings
 
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Ebooks May 27, 2022 6

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Author
Michael Hutchings
Publisher
arXiv 2013
These notes give an introduction to embedded contact homology (ECH) of contact three-manifolds, gathering together many basic notions which are scattered across a number of papers.
First Steps Towards a Symplectic Dynamics by Barney Bramham, Helmut Hofer
 
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Ebooks May 25, 2022 3
Both the field of dynamical systems and the field of symplectic geometry have rich theories and the time seems ripe to develop the common core with highly integrated ideas from both fields. We discuss problems which show how dynamical systems questions and symplectic ideas come together in a nontrivial...
Contact Geometry by Hansjoerg Geiges
 
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Ebooks May 24, 2022 5
This is an introductory text on the more topological aspects of contact geometry, written for the Handbook of Differential Geometry vol. 2. After discussing (and proving) some of the fundamental results of contact topology.
Introduction to Symplectic Field Theory by Y. Eliashberg, A. Givental, H. Hofer
 
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Ebooks May 23, 2022 5
We sketch in this article a new theory, which we call Symplectic Field Theory or SFT, which provides an approach to Gromov-Witten invariants of symplectic
Lectures on Holomorphic Curves in Symplectic and Contact Geometry by Chris Wendl
 
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Ebooks May 22, 2022 3

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Author
Chris Wendl
Publisher
arXiv 2010
This is a set of expository lecture notes created originally for a graduate course on holomorphic curves. From the table of contents: Introduction; Local properties; Fredholm theory; Moduli spaces; Bubbling and nonsqueezing.
Introduction to the Basics of Heegaard Floer Homology by Bijan Sahamie
 
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Ebooks May 19, 2022 4

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Author
Bijan Sahamie
Publisher
arXiv 2010
This paper provides an introduction to the basics of Heegaard Floer homology with some emphasis on the hat theory and to the contact geometric invariants in the theory. The exposition is designed to be comprehensible to people without any prior knowledge of the subject.
Symplectic Geometry of Quantum Noise by Leonid Polterovich
 
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Ebooks May 18, 2022 3
We discuss a quantum counterpart, in the sense of the Berezin-Toeplitz quantization, of certain constraints on Poisson brackets coming from 'hard' symplectic geometry. It turns out that they can be interpreted in terms of the quantum noise of observables and their joint measurements in operational quantum mechanics. ...
Lectures on Symplectic Geometry by Ana Cannas da Silva
 
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Ebooks May 14, 2022 2
An introduction to symplectic geometry and topology, it provides a useful and effective synopsis of the basics of symplectic geometry and serves as the springboard for a prospective researcher. From an introductory chapter of symplectic forms and symplectic algebra,
 
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Ebooks May 14, 2022 2

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Author
Ana Cannas da Silva
Publisher
Princeton University 2004
This is an overview of symplectic geometry – the geometry of symplectic manifolds. From a language for classical mechanics in the XVIII century, 
11857
 
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Ebooks April 22, 2022 6

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Author
Tohru Eguchi, et al.
Publisher
Cambridge University Press 2014
Symplectic geometry has its origin in physics, but has flourished as an independent subject in mathematics, together with its offspring, symplectic topology.
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