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Action-Maslov homomorphism for monot...

Branson, Mark.

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Action-Maslov homomorphism for monotone symplectic manifolds.

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Action-Maslov homomorphism for monotone symplectic manifolds./
Author:	Branson, Mark.
Description:	61 p.
Notes:	Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5503.
Contained By:	Dissertation Abstracts International71-09B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3420749
ISBN:	9781124176659

Action-Maslov homomorphism for monotone symplectic manifolds.
Branson, Mark.

Action-Maslov homomorphism for monotone symplectic manifolds. - 61 p.

Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5503.

Thesis (Ph.D.)--Columbia University, 2010.

The action-Maslov homomorphism I : pi1(Ham(X, o)) → R is an important tool for understanding the topology of the Hamiltonian group of monotone symplectic manifolds. We explore conditions for the vanishing of this homomorphism, and show that it is identically zero when the Seidel element has finite order and the homology satisfies property D (a generalization of having homology generated by divisor classes). These properties hold for products of projective spaces, the Grassmannian of 2 planes in C4 , and tonic 4-manifolds. We show that these properties do not hold for all Grassmannians. Finally, the relationship between these statements and the geometry of pi1(Ham(X, o)) is explored.

ISBN: 9781124176659Subjects--Topical Terms:

515831
Mathematics.

Action-Maslov homomorphism for monotone symplectic manifolds.
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020 $a 9781124176659
035 $a (UMI)AAI3420749
035 $a AAI3420749
040 $a UMI $c UMI
100 1 $a Branson, Mark. $3 1672765
245 1 0 $a Action-Maslov homomorphism for monotone symplectic manifolds.
300 $a 61 p.
500 $a Source: Dissertation Abstracts International, Volume: 71-09, Section: B, page: 5503.
500 $a Adviser: Dusa McDuff.
502 $a Thesis (Ph.D.)--Columbia University, 2010.
520 $a The action-Maslov homomorphism I : pi1(Ham(X, o)) → R is an important tool for understanding the topology of the Hamiltonian group of monotone symplectic manifolds. We explore conditions for the vanishing of this homomorphism, and show that it is identically zero when the Seidel element has finite order and the homology satisfies property D (a generalization of having homology generated by divisor classes). These properties hold for products of projective spaces, the Grassmannian of 2 planes in C4 , and tonic 4-manifolds. We show that these properties do not hold for all Grassmannians. Finally, the relationship between these statements and the geometry of pi1(Ham(X, o)) is explored.
590 $a School code: 0054.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical Mathematics. $3 1672766
690 $a 0405
690 $a 0642
710 2 $a Columbia University. $3 571054
773 0 $t Dissertation Abstracts International $g 71-09B.
790 1 0 $a McDuff, Dusa, $e advisor
790 $a 0054
791 $a Ph.D.
792 $a 2010
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3420749