Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules / Takuro Mochizuki.

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Bibliographic Details
Main Author: Mochizuki, Takuro, 1972- (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2007]
Series:Memoirs of the American Mathematical Society ; no. 870.
Subjects:
Online Access:Click for online access

MARC

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100 1 |a Mochizuki, Takuro,  |d 1972-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PBJfRGpw4QPg9xbvCH6B9Dq 
245 1 0 |a Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules /  |c Takuro Mochizuki. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c [2007] 
264 4 |c ©2007 
300 |a 1 online resource (262 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v number 870 
504 |a Includes bibliographical references and index. 
588 0 |a Online resource; title from PDF title page (ebrary, viewed April 10, 2015). 
505 0 |a ""Contents""; ""Acknowledgement""; ""Part 4. An Application to the Theory of Pure Twistor D-modules""; ""Chapter 14. Pure Twistor D-module""; ""14.1. R-module""; ""14.2. The KMS structure of R-module""; ""14.3. R-triple""; ""14.4. Specialization of the pairing""; ""14.5. Pure Twistor D-modules and Polarization""; ""14.6. Decomposition theorem""; ""Chapter 15. Prolongation of R-module Îæ""; ""15.1. Naive prolongment Îæ and the nitrations""; ""15.2. Prolongment C""; ""15.3. Comparison of [sup(I)]T[sup((Î"[sub(0)]))](c, d) and [sup(I)]T[sup((Î"[sub(0)]))](c, d)"" 
505 8 |a ""15.4. Relation of the filt rations of C""""15.5. The characterization of C""; ""Chapter 16. The Filtrations of C[ð[sub(t)]]""; ""16.1. The filtration U[sup((Î"[sub(0)]))]""; ""16.2. Preliminary reductions and decompositions""; ""16.3. Primitive decomposition""; ""16.4. The associated graded modules""; ""16.5. Some decompositions for Ï?[sub(t, u)]C[ð[sub(t)]]""; ""Chapter 17. The Weight Filtration on Ï?[sub(t, u)] and the Induced R-Triple""; ""17.1. The weight filtration on [sup(I)]L""; ""17.2. The filtration F[sup((Î"[sub(0)]))] and the weight filtration"" 
505 8 |a 17.3. Strict specializability along Z[sub(i)] = 017.4. Strict S-decomposability along Z[sub(i)] = 0 -- Chapter 18. The Sesqui-linear Pairings -- 18.1. The sesqui-linear pairing on C -- 18.2. The sesqui-linear pairing on the induced flat bundles -- 18.3. Preliminary for the calculation of the specialization -- 18.4. The specialization of the pairings -- Chapter 19. Polarized Pure Twistor D-module and Tame Harmonic Bundles -- 19.1. Correspondence -- 19.2. The tameness of the corresponding harmonic bundle -- 19.3. The existence of the prolongment 
505 8 |a 19.4. The uniqueness of the prolongment19.5. The pure imaginary case -- 19.6. The conjectures of Kashiwara and Sabbah -- Chapter 20. The Pure Twistor D-modules on a Smooth Curve (Appendix) -- 20.1. Pure twistor D-module and tame harmonic bundle -- 20.2. Twistor property for push-forward -- Part 5. Characterization of Semisimplicity by Tame Pure Imaginary Pluri-harmonic Metric -- Chapter 21. Preliminary -- 21.1. Miscellaneous -- 21.2. Elementary geometry of GL(r)/U(r) -- 21.3. Maps associated to commuting tuple of endomorphisms 
505 8 |a 21.4. Preliminary for harmonic maps and harmonic bundlesChapter 22. Tame Pure Imaginary Harmonic Bundle -- 22.1. Definition -- 22.2. Tame pure imaginary harmonic bundle on a punctured disc -- 22.3. Semisimplicity -- 22.4. The maximum principle -- 22.5. The uniqueness of tame pure imaginary pluri-harmonic metric -- Chapter 23. The Dirichlet Problem in the Punctured Disc Case -- 23.1. The Dirichlet problem for a sequence of the boundary values -- 23.2. Family version -- Chapter 24. Control of the Energy of Twisted Maps on a Kahler Surface 
546 |a English. 
650 0 |a Hodge theory. 
650 0 |a D-modules. 
650 0 |a Vector bundles. 
650 0 |a Harmonic maps. 
650 7 |a D-modules  |2 fast 
650 7 |a Harmonic maps  |2 fast 
650 7 |a Hodge theory  |2 fast 
650 7 |a Vector bundles  |2 fast 
758 |i has work:  |a Asymptotic behaviour of tame harmonic bundles and an application to pure twistor D-modules (Text)  |1 https://id.oclc.org/worldcat/entity/E39PCGpjx3bXtY4vmCwWy8QpKb  |4 https://id.oclc.org/worldcat/ontology/hasWork 
776 0 8 |i Print version:  |a Mochizuki, Takuro.  |t Asymptotic Behaviour of Tame Harmonic Bundles and an Application to Pure Twistor D-Modules, Part 2.  |d Providence : American Mathematical Society, ©1900  |z 9780821839430 
830 0 |a Memoirs of the American Mathematical Society ;  |v no. 870. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3114159  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD