Holomorphic Morse Inequalities and Bergman Kernels (Progress in Mathematics) George Marinescu - kelloggchurch.org

Holomorphic Morse Inequalities and Bergman Kernels.

This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel, and presents also various applications. The main analytic tool is the analytic localization technique in local index theory developed by Bismut-Lebeau. The holomorphic Morse inequalities are global statements which can be de- duced from local information such as the behavior of the heat or Bergman kernels. Inthis refined formwe canestablishthe asymptoticexpansionofthe Bergmanker- nelassociatedtoLpasp →∞,whichhavehadatremendousimpactonresearchin 2 Introduction. DOI: 10.1007/978-3-7643-8115-8 Corpus ID: 118994457. Holomorphic Morse Inequalities and Bergman Kernels @inproceedingsMa2007HolomorphicMI, title=Holomorphic Morse Inequalities and Bergman Kernels, author=Xiaonan Ma and George Marinescu, year=2007 . This book gives for the first time a self-contained and unified approach to holomorphic Morse inequalities and the asymptotic expansion of the Bergman kernel on manifolds by using the heat kernel. Progress in Mathematics Volume 254 Series Editors H. Bass J. Oesterlé A. Weinstein Xiaonan Ma George Marinescu Holomorphic Morse Inequalities and Bergman Kernels.

Basically, the holomorphic Morse inequalities are a consequence of the small time asym- ptotic expansion of the heat kernel. The Bergman kernel corresponds to the limit of the heat kernel when time goes to infinity, and is more sophisticate. Morse Inequalities and Bergman Kernels Inaugural-Dissertation zur. First, I am deeply grateful to my advisor Professor Dr. George Marinescu for his ad-vices. I am grateful for his consistent encouragement, especially during the calculations. Bergman kernel of the Spinc Dirac operator acting on high tensor powers of line bundles. Aug 10, 2004 · Let X,ω be a hermitian manifold and let L k be a high power of a hermitian holomorphic line bundle over X.Local versions of Demailly’s holomorphic Morse inequalities that give bounds on the dimension of the Dolbeault cohomology groups associated to L k, are presented - after integration they give the usual holomorphic Morse inequalities.The local weak inequalities hold on any. 2006 Xiaonan Ma and George Marinescu Holomorphic Morse Inequalities and Bergman Kernels, PM 254 2007 Rosa Mir´ o-Roig Determinantal Ideals, PM 264 2008 Luis Barreira Dimension and Recurrence in Hyperbolic Dynamics, PM 272 2009 Timothy D. Browning Quantitative Arithmetic of Projective Vari-eties, PM 277 2010 Carlo Mantegazza. Holomorphic Morse Inequalities and Bergman Kernels Progress in Mathematics Book 254 eBook: Ma, Xiaonan, Marinescu, George, Lappalainen, Pekka: Amazon.in: Kindle Store.

Holomorphic Morse inequalities and Bergman kernels, by.

Morse Inequalities and Bergman Kernels.

Holomorphic Morse Inequalities and Bergman Kernels Progress in Mathematics Book 254 - Kindle edition by Ma, Xiaonan, Marinescu, George, Lappalainen, Pekka. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Holomorphic Morse Inequalities and Bergman Kernels Progress in Mathematics Book. Home » MAA Publications » MAA Reviews » Holomorphic Morse Inequalities and Bergman Kernels. Holomorphic Morse Inequalities and Bergman Kernels. Xiaonan Ma and George Marinescu. Publisher: Birkhäuser. Publication Date: 2007. Number of Pages: 414. Format. T1 - Holomorphic Morse inequalities and Bergman kernels, by Xiaonan Ma and George Marinescu. AU - Zelditch, Steven Morris. PY - 2009. Y1 - 2009. M3 - Book/Film/Article review. VL - 46. SP - 349. EP - 361. JO - Bulletin of the American Mathematical Society. JF - Bulletin of the American Mathematical Society. SN - 0273-0979. IS - 2. ER

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