A New Approach to the Local Embedding Theorem of CR-Structures for $n\geq 4$ (The Local Solvability for the Operator $\overline \partial _b$ in the Abstract Sense) PDF Download
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Author: Takao Akahori Publisher: American Mathematical Soc. ISBN: 0821824287 Category : Mathematics Languages : en Pages : 278
Book Description
Kuranishi proved that any abstract strongly pseudo convex CR-structure of which real dimension [greater than or equal to] nine can be locally embeddable. In this paper, by introducing a new approach, we improve his result. Namely, we obtain that any abstract strongly pseudo convex CR-structure of which real dimension [greater than or equal to] seven can be locally embeddable.
Author: Takao Akahori Publisher: American Mathematical Soc. ISBN: 0821824287 Category : Mathematics Languages : en Pages : 278
Book Description
Kuranishi proved that any abstract strongly pseudo convex CR-structure of which real dimension [greater than or equal to] nine can be locally embeddable. In this paper, by introducing a new approach, we improve his result. Namely, we obtain that any abstract strongly pseudo convex CR-structure of which real dimension [greater than or equal to] seven can be locally embeddable.
Author: Emily Clader Publisher: Springer ISBN: 3319942204 Category : Mathematics Languages : en Pages : 635
Book Description
This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry. Mirror symmetry is an active topic of research in both the mathematics and physics communities, but among mathematicians, the “A-model” half of the story remains much better-understood than the B-model. This book aims to address that imbalance. It begins with an overview of several methods by which mirrors have been constructed, and from there, gives a thorough account of the “BCOV” B-model theory from a physical perspective; this includes the appearance of such phenomena as the holomorphic anomaly equation and connections to number theory via modularity. Following a mathematical exposition of the subject of quantization, the remainder of the book is devoted to the B-model from a mathematician’s point-of-view, including such topics as polyvector fields and primitive forms, Givental’s ancestor potential, and integrable systems.
Author: Sergey Ketov Publisher: BoD – Books on Demand ISBN: 9535100351 Category : Science Languages : en Pages : 246
Book Description
Quantum Field Theory is now well recognized as a powerful tool not only in Particle Physics but also in Nuclear Physics, Condensed Matter Physics, Solid State Physics and even in Mathematics. In this book some current applications of Quantum Field Theory to those areas of modern physics and mathematics are collected, in order to offer a deeper understanding of known facts and unsolved problems.
Author: Robert Geroch Publisher: University of Chicago Press ISBN: 9780226288642 Category : Science Languages : en Pages : 242
Book Description
"This beautiful little book is certainly suitable for anyone who has had an introductory course in physics and even for some who have not."—Joshua N. Goldberg, Physics Today "An imaginative and convincing new presentation of Einstein's theory of general relativity. . . . The treatment is masterful, continual emphasis being placed on careful discussion and motivation, with the aim of showing how physicists think and develop their ideas."—Choice
Author: Giuseppe Da Prato Publisher: CRC Press ISBN: 9780203910177 Category : Mathematics Languages : en Pages : 480
Book Description
Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing. With contributions from more than 40 leading experts in the field, Stochastic Partial Differential Equations and Applications is an excellent resource for pure and applied mathematicians; numerical analysts; mathematical physicists; geometers; economists; probabilists; computer scientists; control, electrical, and electronics engineers; and upper-level undergraduate and graduate students in these disciplines.
Author: Romeo Brunetti Publisher: Springer ISBN: 3319213539 Category : Science Languages : en Pages : 460
Book Description
This text focuses on the algebraic formulation of quantum field theory, from the introductory aspects to the applications to concrete problems of physical interest. The book is divided in thematic chapters covering both introductory and more advanced topics. These include the algebraic, perturbative approach to interacting quantum field theories, algebraic quantum field theory on curved spacetimes (from its structural aspects to the applications in cosmology and to the role of quantum spacetimes), algebraic conformal field theory, the Kitaev's quantum double model from the point of view of local quantum physics and constructive aspects in relation to integrable models and deformation techniques. The book is addressed to master and graduate students both in mathematics and in physics, who are interested in learning the structural aspects and the applications of algebraic quantum field theory.
Author: Takao Akahori
Author: Takao Akahori![A New Approach to the Local Embedding Theorem of CR-structures for N [greater Than Or Equal To] 4 (the Local Solvability for the Operator [overbarred Partial] B in the Abstract Sense) PDF](https://books.google.com/books/content/images/frontcover/AxtqAQAACAAJ?fife=w80-h100)
Author: Takao Akahori
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Author: R.R. Bowker Company
Author: Emily Clader
Author: Sergey Ketov
Author: Robert Geroch
Author: Giuseppe Da Prato
Author: Romeo Brunetti