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Holomorphic Curves in Low Dimensions

Autor: Wendl, Chris

Disponibilitate: LIVRARE IN 3-5 SAPTAMANI (produsul este livrat din Marea Britanie)

SKU:
9783319913698

271,99 RON
Okian.ro este o LIBRARIE online de carte in limba engleza.
This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

The first half of the book focuses on McDuff's characterization of symplectic rational and ruled surfaces, one of the classic early applications of holomorphic curve theory. The proof presented here uses the language of Lefschetz fibrations and pencils, thus it includes some background on these topics, in addition to a survey of the required analytical results on holomorphic curves. Emphasizing applications rather than technical results, the analytical survey mostly refers to other sources for proofs, while aiming to provide precise statements that are widely applicable, plus some informal discussion of the analytical ideas behind them. The second half of the book then extends this program in two complementary directions: (1) a gentle introduction to Gromov-Witten theory and complete proof of the classification of uniruled symplectic 4-manifolds; and (2) a survey of punctured holomorphic curves and their applications to questions from 3-dimensional contact topology, such as classifying the symplectic fillings of planar contact manifolds.

This book will be particularly useful to graduate students and researchers who have basic literacy in symplectic geometry and algebraic topology, and would like to learn how to apply standard techniques from holomorphic curve theory without dwelling more than necessary on the analytical details.



This book is also part of the Virtual Series on Symplectic Geometry



http: //www.springer.com/series/16019

Mai multe informatii
Autor Wendl, Chris
Editura Springer International Publishing AG
Dimensiuni 156 x 234 x 23
Data Publicarii 29/06/2018
Format Necartonata
Numar pagini 294
Descriere RO Aceasta monografie ofera o introducere accesibila la aplicatiile curbelor pseudoholomorfe in geometria simplectica si de contact, cu accent pe dimensiunile patru si 3. Prima jumatate a cartii se concentreaza pe caracterizarea McDuff a suprafetelor rationale si reglate simplectice, una dintre aplicatiile timpurii clasice ale teoria curbei holomorfe.
Aceasta este o carte in limba engleza. Descrierea cartii (tradusa din engleza cu Google Translate) este in limba romana din motive legale.
Aceasta monografie ofera o introducere accesibila la aplicatiile curbelor pseudoholomorfe in geometria simplectica si de contact, cu accent pe dimensiunile patru si 3. Prima jumatate a cartii se concentreaza pe caracterizarea McDuff a suprafetelor rationale si reglate simplectice, una dintre aplicatiile timpurii clasice ale teoria curbei holomorfe.
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