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Periodic Monopoles and Difference Modules

By Takuro Mochizuki

Product Image: Periodic Monopoles and Difference Modules

Periodic Monopoles and Difference Modules

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Description
This book studies a class of monopoles defined by certain mild conditions, called periodic monopoles of generalized Cherkis-Kapustin (GCK) type. It presents a classification of the latter in terms of difference modules with parabolic structure, revealing a kind of Kobayashi-Hitchin correspondence between differential geometric objects and algebraic objects. It also clarifies the asymptotic behaviour of these monopoles around infinity. The theory of periodic monopoles of GCK type has applications to Yang-Mills theory in differential geometry and to the study of difference modules in dynamical algebraic geometry. A complete account of the theory is given, including major generalizations of results due to Charbonneau, Cherkis, Hurtubise, Kapustin, and others, and a new and original generalization of the nonabelian Hodge correspondence first studied by Corlette, Donaldson, Hitchin and Simpson. This work will be of interest to graduatestudents and researchers in differential and algebraic geometry, as well as in mathematical physics.
Product details
Binding:
Paperback
Edition:
1
Number of Pages:
344
Release Date:
2022-02-24
Publication Date:
2022-02-24
Publisher:
Springer
Languages:
Original: English
ISBN10:
3030944999
ISBN13:
9783030944995
GPSR Manufacturer Reference:
[email protected]
Weight:
522 g
Height:
155 cm
Width:
235 cm
Thickness:
19 cm
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