Journal article icon

Journal article

Symplectic implosion and the Grothendieck-Springer resolution

Abstract:

We prove that the Grothendieck-Springer simultaneous resolution viewed as a correspondence between the adjoint quotient of a Lie algebra and its maximal torus is Lagrangian in the sense of shifted symplectic structures. As Hamiltonian spaces can be interpreted as Lagrangians in the adjoint quotient, this allows one to reduce a Hamiltonian G-space to a Hamiltonian H-space where H is the maximal torus of G. We show that this procedure coincides with an algebraic version of symplectic implosion ...

Expand abstract
Publication status:
Published
Peer review status:
Peer reviewed

Actions


Access Document


Files:
Publisher copy:
10.1007/s00031-016-9398-1

Authors


More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Publisher:
Springer Verlag
Journal:
Transformation Groups Journal website
Publication date:
2016-07-20
Acceptance date:
2016-04-27
DOI:
EISSN:
1531-586X
ISSN:
1083-4362
Source identifiers:
511460
Keywords:
Pubs id:
pubs:511460
UUID:
uuid:639307b1-897d-4410-b667-ef602ef217d2
Local pid:
pubs:511460
Deposit date:
2016-08-25

Terms of use


Views and Downloads






If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP