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Periodic Monopoles And Difference Modules Lecture Notes In Mathematics 1st Ed 2022 Takuro Mochizuki

Name: Periodic Monopoles And Difference Modules Lecture Notes In Mathematics 1st Ed 2022 Takuro Mochizuki
SKU: BELL-51793254
Price: 31.00 USD
Availability: InStock
Rating: 4.7 (36 reviews)

SKU: BELL-51793254

$ 31.00 ~~$ 45.00~~ (-31%)

4.7

36 reviews

Periodic Monopoles And Difference Modules Lecture Notes In Mathematics 1st Ed 2022 Takuro Mochizuki instant download after payment.

Publisher: Springer

File Extension: PDF

File size: 2.63 MB

Pages: 344

Author: Takuro Mochizuki

ISBN: 9783030944995, 3030944999

Language: English

Year: 2022

Edition: 1st ed. 2022

Product desciption

Periodic Monopoles And Difference Modules Lecture Notes In Mathematics 1st Ed 2022 Takuro Mochizuki by Takuro Mochizuki 9783030944995, 3030944999 instant download after payment.

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 graduate students and researchers in differential and algebraic geometry, as well as in mathematical physics.