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Questions of existence and uniqueness

Dusa McDuff and Dietmar Salamon

in Introduction to Symplectic Topology

Published in print:
2017
Published Online:
June 2017
ISBN:
9780198794899
eISBN:
9780191836411
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198794899.003.0014
Subject:
Mathematics, Analysis, Geometry / Topology

This chapter discusses the fundamental existence and uniqueness questions in symplectic topology: which manifolds admit symplectic structures, and to what extent they are unique. There are partial ... More


A Hitchin Connection for a Large Class of Families of Kähler Structures

Jørgen Ellegaard Andersen and Kenneth Rasmussen

in Geometry and Physics: Volume I: A Festschrift in honour of Nigel Hitchin

Published in print:
2018
Published Online:
December 2018
ISBN:
9780198802013
eISBN:
9780191840500
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198802013.003.0007
Subject:
Mathematics, Geometry / Topology

This chapter presents a Hitchin connection constructed in a setting which significantly generalizes the setting covered by the first author, which, in turn, was a generalization of the moduli space ... More


Introduction to Symplectic Topology

Dusa McDuff and Dietmar Salamon

Published in print:
2017
Published Online:
June 2017
ISBN:
9780198794899
eISBN:
9780191836411
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/oso/9780198794899.001.0001
Subject:
Mathematics, Analysis, Geometry / Topology

Over the past number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important ... More


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