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Remarks on the Yang:Mills flow on a compact Kahler manifolds

Data publikacji: 09.2014

Universitatis Iagellonicae Acta Mathematica, 2013, Tom 51, s. 14 - 43

Autorzy

,
Tristan C. Collins
Columbia University
, Stany Zjednoczone Ameryki
Wszystkie publikacje autora →
Adam Jacob
Harvard University, Cambridge, USA
Wszystkie publikacje autora →

Tytuły

Remarks on the Yang:Mills flow on a compact Kahler manifolds

Abstrakt

We study the Yang{Mills ow on a holomorphic vector bundle E over a compact Kahler manifold X. We construct a natural barrier function along the ow, and introduce some techniques to study the blow- up of the curvature along the ow. Making some technical assumptions, we show how our techniques can be used to prove that the curvature of the evolved connection is uniformly bounded away from an analytic subvariety determined by the Harder-Narasimhan-Seshadri ltration of E. We also discuss how our assumptions are related to stability in some simple cases. 

2010 Mathematics Subject Classification - 53C07, 53C44

Bibliografia

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Informacje

Informacje: Universitatis Iagellonicae Acta Mathematica, 2013, Tom 51, s. 14 - 43

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Angielski:

Remarks on the Yang:Mills flow on a compact Kahler manifolds

Polski:

Remarks on the Yang:Mills flow on a compact Kahler manifolds

Autorzy

Columbia University
Stany Zjednoczone Ameryki

Harvard University, Cambridge, USA

Publikacja: 09.2014

Status artykułu: Otwarte __T_UNLOCK

Licencja: Żadna

Udział procentowy autorów:

Tristan C. Collins (Autor) - 50%
Adam Jacob (Autor) - 50%

Korekty artykułu:

-

Języki publikacji:

Angielski

Liczba wyświetleń: 2045

Liczba pobrań: 1370