Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lecture notes on embedded contact homology   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. We also discuss the origins of ECH,
including various remarks and examples which have not been previously
published. Finally, we review the recent application to four-dimensional
symplectic embedding problems. This article is based on lectures given in
Budapest and Munich in the summer of 2012, a series of accompanying blog
postings at floerhomology.wordpress.com, and related lectures at UC Berkeley in
Fall 2012. There is already a brief introduction to ECH in the 2010 ICM
proceedings, but the present notes give much more background and detail.

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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: funct-an
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-th
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an