Mirror Symmetry

Mirror Symmetry PDF Author: Kentaro Hori
Publisher: American Mathematical Soc.
ISBN: 0821829556
Category : Mathematics
Languages : en
Pages : 954

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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.

Mirror Symmetry

Mirror Symmetry PDF Author: Kentaro Hori
Publisher: American Mathematical Soc.
ISBN: 0821829556
Category : Mathematics
Languages : en
Pages : 954

Get Book Here

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.

Mirrors of Clay

Mirrors of Clay PDF Author: Yumi Park
Publisher: Univ. Press of Mississippi
ISBN: 1617038199
Category : Art
Languages : en
Pages : 97

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Book Description
Mirrors of Clay: Reflections of Ancient Andean Life in Ceramics from the Sam Olden Collection features photographs and descriptions of sixty ceramic vessels from ancient Andean American cultures, including the Cupisnique, Chavín, Vicús, Nazca, Moche, Tiwanaku, Lambayeque, and Chimú, which flourished between 1200 BCE and 1550 CE. These distinctive ceramic vessels, selected from the collection of Sam Olden, were given to the Mississippi Museum of Art and are included in a special exhibition presented by the museum and Jackson State University. The pieces reveal each culture's stylistic aesthetics, religious ideologies, and political roles. The Pre-Columbian ceramic vessels presented in this catalogue are mainly from the Andean region of South America, which includes the modern countries of Ecuador, Peru, and Bolivia. By analyzing technologies, forms, and decorative designs, author Yumi Park reveals the unique aesthetics, social stratifications, religious ideologies, and political roles within each culture. Ancient Andean potters expressed their native individualities by depicting the forms of warriors, deities, architecture, flora, fauna, and daily life on their ceramic vessels. Collector Sam Olden lived in Peru during the 1960s. After visiting various archaeological sites and museums, including the Rafael Larco Herrera Museum in Peru, he became enamored with the ceramic vessels of the ancient Andes. Olden later settled in Yazoo City, Mississippi, and began to build an extensive collection of ancient Andean ceramics, eventually making a large donation to the Mississippi Museum of Art. Because of his passion for these artifacts, the people of Mississippi are now afforded a window on the ancient Andean world. The Sam Olden Collection gives us tangible and visible evidence of the social activities, political events, and ideological beliefs of ancient Andean cultures.

Clay Mirrors of the Age of Gold

Clay Mirrors of the Age of Gold PDF Author: Christine Alexander
Publisher:
ISBN:
Category : Vase-painting, Greek
Languages : en
Pages : 5

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Book Description


Clay Mirror

Clay Mirror PDF Author: Bob Kapoun
Publisher:
ISBN: 9780578619422
Category :
Languages : en
Pages :

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Book Description
The Tom & Charlotte Mittler Collection

The Collection of Ritual Bronze Vessels, Weapons, Gilt Bronzes, Mirrors and Ceramics Formed by Dr. Franco Vannotti ; The Ritual Bronze Fang Yi and Korean Ceramics from the Hans Popper Collection ; Gold and Silver from the Yamaoka Seibei and Other Collections

The Collection of Ritual Bronze Vessels, Weapons, Gilt Bronzes, Mirrors and Ceramics Formed by Dr. Franco Vannotti ; The Ritual Bronze Fang Yi and Korean Ceramics from the Hans Popper Collection ; Gold and Silver from the Yamaoka Seibei and Other Collections PDF Author: Eskenazi Ltd
Publisher:
ISBN:
Category : Art, Asian
Languages : en
Pages : 140

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Book Description


Wilderness of Mirrors

Wilderness of Mirrors PDF Author: David C. Martin
Publisher: Simon and Schuster
ISBN: 151072219X
Category : History
Languages : en
Pages : 288

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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.

English Lit

English Lit PDF Author: Bernard Clay
Publisher: Ohio University Press
ISBN: 173522426X
Category : Poetry
Languages : en
Pages : 136

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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.

Dirichlet Branes and Mirror Symmetry

Dirichlet Branes and Mirror Symmetry PDF Author:
Publisher: American Mathematical Soc.
ISBN: 0821838482
Category : Mathematics
Languages : en
Pages : 698

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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.

Cold Clay

Cold Clay PDF Author: Juneau Black
Publisher: Vintage Crime/Black Lizard
ISBN: 0593466284
Category : Fiction
Languages : en
Pages : 241

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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.

The Amazing Adventures of Kavalier & Clay (with bonus content)

The Amazing Adventures of Kavalier & Clay (with bonus content) PDF Author: Michael Chabon
Publisher: Random House
ISBN: 0812993675
Category : Fiction
Languages : en
Pages : 706

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Book Description
WINNER OF THE PULITZER PRIZE • NEW YORK TIMES BESTSELLER • The epic, beloved novel of two boy geniuses dreaming up superheroes in New York’s Golden Age of comics, now with special bonus material by the author “It's absolutely gosh-wow, super-colossal—smart, funny, and a continual pleasure to read.”—The Washington Post Book World One of The New York Times’s 100 Best Books of the 21st Century • One of Entertainment Weekly’s 10 Best Books of the Decade • Finalist for the PEN/Faulkner Award, National Book Critics Circle Award, and Los Angeles Times Book Prize A “towering, swash-buckling thrill of a book” (Newsweek), hailed as Chabon’s “magnum opus” (The New York Review of Books), The Amazing Adventures of Kavalier & Clay is a triumph of originality, imagination, and storytelling, an exuberant, irresistible novel that begins in New York City in 1939. A young escape artist and budding magician named Joe Kavalier arrives on the doorstep of his cousin, Sammy Clay. While the long shadow of Hitler falls across Europe, America is happily in thrall to the Golden Age of comic books, and in a distant corner of Brooklyn, Sammy is looking for a way to cash in on the craze. He finds the ideal partner in the aloof, artistically gifted Joe, and together they embark on an adventure that takes them deep into the heart of Manhattan, and the heart of old-fashioned American ambition. From the shared fears, dreams, and desires of two teenage boys, they spin comic book tales of the heroic, fascist-fighting Escapist and the beautiful, mysterious Luna Moth, otherworldly mistress of the night. Climbing from the streets of Brooklyn to the top of the Empire State Building, Joe and Sammy carve out lives, and careers, as vivid as cyan and magenta ink. Spanning continents and eras, this superb book by one of America’s finest writers remains one of the defining novels of our modern American age. Winner of the Bay Area Book Reviewers Award and the New York Society Library Book Award