WorldCat Identities

Mochizuki, Takuro 1972-

Overview
Works: 22 works in 104 publications in 3 languages and 1,696 library holdings
Roles: Author
Publication Timeline
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Most widely held works by Takuro Mochizuki
Donaldson type invariants for algebraic surfaces : transition of moduli stacks by Takuro Mochizuki( )

19 editions published in 2009 in English and held by 596 WorldCat member libraries worldwide

We are defining and studying an algebro-geometric analogue of Donaldson invariants by using moduli spaces of semistable sheaves with arbitrary ranks on a polarized projective surface. We are interested in relations among the invariants, which are natural generalizations of the "wall-crossing formula" and the "Witten conjecture" for classical Donaldson invariants. Our goal is to obtain a weaker version of these relations, by systematically using the intrinsic smoothness of moduli spaces. According to the recent excellent work of L. Goettsche, H. Nakajima and K. Yoshioka, the wall-crossing formula for Donaldson invariants of projective surfaces can be deduced from such a weaker result in the rank two case!
Mixed twistor d-modules by Takuro Mochizuki( )

13 editions published in 2015 in English and held by 322 WorldCat member libraries worldwide

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 variations of mixed twistor structures. In a sense, mixed twistor D-modules can be regarded as a twistor version of M. Saito's mixed Hodge modules. Alternatively, they can be viewed as a mixed version of the pure twistor D-modules studied by C. Sabbah and the author. The theory of mixed twistor D-modules is one of the ultimate goals in the study suggested by Simpson's Meta Theorem, and it would form a foundation for the Hodge theory of holonomic D-modules which are not necessarily regular singular
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules by Takuro Mochizuki( Book )

27 editions published between 2006 and 2007 in English and held by 314 WorldCat member libraries worldwide

Wild harmonic bundles and wild pure twistor D-modules by Takuro Mochizuki( Book )

9 editions published in 2011 in English and held by 172 WorldCat member libraries worldwide

Kobayashi-Hitchin correspondence for tame harmonic bundles and an application by Takuro Mochizuki( Book )

10 editions published in 2006 in English and French and held by 171 WorldCat member libraries worldwide

The author establishes the correspondence between tame harmonic bundles and $\mu --L$-polystable parabolic Higgs bundles with trivial characteristic numbers. He also shows the Bogomolov-Gieseker type inequality for $\mu --L$-stable parabolic Higgs bundles. The author shows that any local system on a smooth quasiprojective variety can be deformed to a variation of polarized Hodge structure. He then concludes that some kind of discrete groups cannot be a split quotient of the fundamental group of a smooth quasiprojective variety
Holonomic D-modules with Betti structure by Takuro Mochizuki( Book )

7 editions published between 2010 and 2014 in English and held by 71 WorldCat member libraries worldwide

We define the notion of Betti structure for holonomic D-modules which are not necessarily regular singular. We establish the fundamental functorial properties. We also give auxiliary analysis of holomorphic functions of various types on the real blow up
Programa multimedia para la enseñanza de combustión y hornos de proceso. Revista Ciencia e Ingeniería. 27(1), 2006 by Takuro Mochizuki( )

1 edition published in 2000 in Spanish and held by 23 WorldCat member libraries worldwide

Programa multimedia para la enseñanza de combustión y hornos de proceso by Takuro Mochizuki( )

in Spanish and held by 9 WorldCat member libraries worldwide

Kobayashi-Hitchin correspondence for tame harmonic bundles and an application by Takuro Mochizuki( )

1 edition published in 2006 in English and held by 3 WorldCat member libraries worldwide

A theory of the invariants obtained from the moduli stacks of stable objects on a smooth polarized surface by Takuro Mochizuki( Book )

2 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide

Kobayashi-Hitchin correspondence for tame harmonic bundles II by Takuro Mochizuki( Book )

2 editions published in 2006 in English and held by 2 WorldCat member libraries worldwide

Asymptotic behaviour of tame nilpotent harmonic bundles with trivial parabolic structure by Takuro Mochizuki( Book )

1 edition published in 2002 in English and held by 1 WorldCat member library worldwide

Three-dimensional cortical thickness in femoral diaphysis for ealthy elderly and osteoarthritic knees in women( )

1 edition published in 2018 in English and held by 1 WorldCat member library worldwide

Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twister D-Modules by Takuro Mochizuki( )

1 edition published in 2006 in English and held by 1 WorldCat member library worldwide

Asymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules by Takuro Mochizuki( Book )

in English and held by 1 WorldCat member library worldwide

The effect of quadriceps strength on gait kinematics in onset and progress of knee osteoarthritis( )

1 edition published in 2018 in English and held by 1 WorldCat member library worldwide

Asymptotic behaviour of variation of pure polarized TERP structures by Takuro Mochizuki( Book )

1 edition published in 2008 in English and held by 1 WorldCat member library worldwide

Effect of inclined medial proximal tibial articulation on varus alignment in knee osteoarthritis( )

1 edition published in 2018 in English and held by 1 WorldCat member library worldwide

Mémoires de la Société mathématique de France, n 138-139 : Holonomic D-modules with Betti-structure by Takuro Mochizuki( Book )

1 edition published in 2014 in French and held by 1 WorldCat member library worldwide

 
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Audience level: 0.64 (from 0.29 for Programa m ... to 0.98 for Asymptotic ...)

Donaldson type invariants for algebraic surfaces : transition of moduli stacks
Covers
Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modulesAsymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twister D-ModulesAsymptotic behaviour of tame harmonic bundles and an application to pure twister D-modules
Alternative Names
Mochizuki, T. 1972-

Takurō Mochizuki

Takuro Mochizuki Japanese mathematician

Takurō Mochizuki japanischer Mathematiker

Takuro Mochizuki Japans wiskundige

Takuro Mochizuki matemático japonés

Takurō Mochizuki mathématicien japonais

Такуро Мотидзуки математик

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