000 02125nam a22003378i 4500
001 CR9781108608954
003 UkCbUP
005 20200416205231.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 180510s2020||||enk o ||1 0|eng|d
020 _a9781108608954 (ebook)
020 _z9781108497404 (hardback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 4 _aQA564
_b.W46 2020
082 0 4 _a512/.33
_223
100 1 _aWendl, Chris,
_eauthor.
245 1 0 _aLectures on contact 3-manifolds, holomorphic curves and intersection theory /
_cChris Wendl.
264 1 _aCambridge :
_bCambridge University Press,
_c2020.
300 _a1 online resource (viii, 185 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aCambridge tracts in mathematics ;
_v220
500 _aTitle from publisher's bibliographic system (viewed on 06 Mar 2020).
520 _aIntersection theory has played a prominent role in the study of closed symplectic 4-manifolds since Gromov's famous 1985 paper on pseudoholomorphic curves, leading to myriad beautiful rigidity results that are either inaccessible or not true in higher dimensions. Siefring's recent extension of the theory to punctured holomorphic curves allowed similarly important results for contact 3-manifolds and their symplectic fillings. Based on a series of lectures for graduate students in topology, this book begins with an overview of the closed case, and then proceeds to explain the essentials of Siefring's intersection theory and how to use it, and gives some sample applications in low-dimensional symplectic and contact topology. The appendices provide valuable information for researchers, including a concise reference guide on Siefring's theory and a self-contained proof of a weak version of the Micallef-White theorem.
650 0 _aIntersection theory (Mathematics)
776 0 8 _iPrint version:
_z9781108497404
830 0 _aambridge tracts in mathematics ;
_v220.
856 4 0 _uhttps://doi.org/10.1017/9781108608954
999 _c529014
_d529012