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Author: Kentaro Hori Publisher: American Mathematical Soc. ISBN: 0821829556 Category : Mathematics Languages : en Pages : 954
Book Description
This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Author: Kentaro Hori Publisher: American Mathematical Soc. ISBN: 0821829556 Category : Mathematics Languages : en Pages : 954
Book Description
This thorough and detailed exposition is the result of an intensive month-long course on mirror symmetry sponsored by the Clay Mathematics Institute. It develops mirror symmetry from both mathematical and physical perspectives with the aim of furthering interaction between the two fields. The material will be particularly useful for mathematicians and physicists who wish to advance their understanding across both disciplines. Mirror symmetry is a phenomenon arising in string theory in which two very different manifolds give rise to equivalent physics. Such a correspondence has significant mathematical consequences, the most familiar of which involves the enumeration of holomorphic curves inside complex manifolds by solving differential equations obtained from a ``mirror'' geometry. The inclusion of D-brane states in the equivalence has led to further conjectures involving calibrated submanifolds of the mirror pairs and new (conjectural) invariants of complex manifolds: the Gopakumar-Vafa invariants. This book gives a single, cohesive treatment of mirror symmetry. Parts 1 and 2 develop the necessary mathematical and physical background from ``scratch''. The treatment is focused, developing only the material most necessary for the task. In Parts 3 and 4 the physical and mathematical proofs of mirror symmetry are given. From the physics side, this means demonstrating that two different physical theories give isomorphic physics. Each physical theory can be described geometrically, and thus mirror symmetry gives rise to a ``pairing'' of geometries. The proof involves applying $R\leftrightarrow 1/R$ circle duality to the phases of the fields in the gauged linear sigma model. The mathematics proof develops Gromov-Witten theory in the algebraic setting, beginning with the moduli spaces of curves and maps, and uses localization techniques to show that certain hypergeometric functions encode the Gromov-Witten invariants in genus zero, as is predicted by mirror symmetry. Part 5 is devoted to advanced topi This one-of-a-kind book is suitable for graduate students and research mathematicians interested in mathematics and mathematical and theoretical physics.
Author: Yumi Park Publisher: ISBN: 9781617307959 Category : Andes Region Languages : en Pages : 96
Book Description
'Mirrors of Clay' features photographs and descriptions of 60 ceramic vessels from ancient Andean American cultures which flourished between 1200 BCE and 1550 CE. These distinctive ceramic vessels reveal each culture's stylistic aesthetics, religious ideologies, and political roles.
Author: Lisa Pavelka Publisher: Taunton Press ISBN: 1600851282 Category : Crafts & Hobbies Languages : en Pages : 231
Book Description
If crafts are big, then clay is colossal. From pins and pendants to bracelets, buttons, and embellishments, crafters of all ages are embracing the creativity that polymer clay inspires. The Complete Book of Polymer Clay is an encyclopedic book by renowned expert Lisa Pavelka includes the latest techniques, handy tips, and trade secrets. Pavelka presents a sweeping overview of materials, how-to fundamentals, and construction techniques. She also introduces six original projects with complete instructions showing readers how to make pendants, curio boxes, a necklace, and a bracelet. Clear, concise, and comprehensive, this is an essential addition to any crafter's library, no matter his or her skill level. For even more inspiration, this indispensable reference features a gallery of 50 original projects by Pavelka and other talented polymer clay designers.
Author: Bernard Clay Publisher: Ohio University Press ISBN: 173522426X Category : Poetry Languages : en Pages : 136
Book Description
Autobiographical poetry from one of Kentucky’s rising Affrilachian literary stars. Bernard Clay’s autobiographical poetry debut, English Lit, juxtaposes the roots of Black male identity against an urban and rural Kentucky landscape. Hailed as one of the most authentic voices of his generation, Clay artfully renders coming-of-age in the predominately Black West End of Louisville, Kentucky. Balancing the spirited grit of a farmer and the careful lyricism of a poet, English Lit is a triumph of new Affrilachian—African American and Appalachian—literature.
Author: Publisher: American Mathematical Soc. ISBN: 0821838482 Category : Mathematics Languages : en Pages : 698
Book Description
Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.
Author: Juneau Black Publisher: Vintage Crime/Black Lizard ISBN: 0593466284 Category : Fiction Languages : en Pages : 241
Book Description
The second book in the Shady Hollow series, in which some long-buried secrets come to light, throwing suspicion on a beloved local denizen. It's autumn in Shady Hollow, and residents are looking forward to harvest feasts. But then a rabbit discovers a grisly crop: the bones of a moose. Soon, the owner of Joe's Mug is dragged out of the coffeeshop and questioned by the police about the night his wife walked out of his life—and Shady Hollow—forever. It seems like an open-and-shut case, but dogged reporter Vera Vixen doesn't believe gentle Joe is a killer. She'll do anything to prove his innocence ... even if it means digging into secrets her neighbors would rather leave buried. A VINTAGE CRIME/BLACK LIZARD ORIGINAL.
Author: David C. Martin Publisher: Simon and Schuster ISBN: 151072219X Category : History Languages : en Pages : 288
Book Description
At the dawn of the Cold War, the world’s most important intelligence agencies—the Soviet KGB, the American CIA, and the British MI6—appeared to have clear-cut roles and a sense of rising importance in their respective countries. But when Kim Philby, head of MI6’s Russian division and arguably the twenty-first century’s greatest spy, was revealed to be a Russian mole along with British government heavyweights Donald Maclean and Guy Burgess, everything in the Western intelligence world turned upside down. Here is the true story of how the American James Bond—the colorful, foulmouthed, pistol-packing, alcoholic ex-FBI agent William “King” Harvey—put the finger on Philby; how James Jesus Angleton, the chain-smoking poet of Yale University and the CIA’s supposed “master spy” in charge of counterintelligence, began his descent into a paranoid wilderness of mirrors upon learning of family friend Kim Philby’s ultimate betrayal; and the devastating consequences of the loss of MI6 prestige and the CIA’s subsequent self-defeating witch hunts. Every revelation, every stranger-than-fiction twist and turn is all the more intriguing as truths become lies and unlikely scenarios are revealed as reality. With impeccable sourcing and the use of thousands of pages of declassified research, David C. Martin’s Wilderness of Mirrors is widely recognized as a masterpiece of intelligence literature.
Author: Kentaro Hori
Author: Kentaro Hori
Author: Bob Kapoun
Author: Yumi Park
Author: Christine Alexander
Author: Lisa Pavelka
Author: Eskenazi Ltd
Author: Bernard Clay
Author: 
Author: Juneau Black
Author: David C. Martin