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Kobayashi-Hitchin Correspondence for Tame Harmonic Bundles and an Application
Language: en
Pages: 132
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2006 - Publisher:

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The author establishes the correspondence between tame harmonic bundles and $\mu _L$-polystable parabolic Higgs bundles with trivial characteristic numbers. He
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 1
Language: en
Pages: 344
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an i
Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor $D$-Modules, Part 2
Language: en
Pages: 262
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: American Mathematical Soc.

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The author studies the asymptotic behaviour of tame harmonic bundles. First he proves a local freeness of the prolongment of deformed holomorphic bundle by an i
Mixed Twistor D-modules
Language: en
Pages: 497
Authors: Takuro Mochizuki
Categories: Mathematics
Type: BOOK - Published: 2015-08-19 - Publisher: Springer

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We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible
From Hodge Theory to Integrability and TQFT
Language: en
Pages: 314
Authors: Ron Donagi
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

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"Ideas from quantum field theory and string theory have had an enormous impact on geometry over the last two decades. One extremely fruitful source of new mathe