Clay Mathematics Monographs – serie

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5 produkter

1. 

   Ricci Flow and the Poincare Conjecture

   Av John Morgan, Gang Tian

   Häftad, 2007

   1014 kr

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   For over 100 years the Poincare Conjecture, which proposes a topological characterization of the 3-sphere, has been the central question in topology. Since its formulation, it has been repeatedly attacked, without success, using various topological methods. Its importance and difficulty were …

2. 

   Mirror Symmetry

   Av Kentaro Hori, Sheldon Katz m. fl.

   Häftad, 2003

   1937 kr

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   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 …

3. 

   Dirichlet Branes and Mirror Symmetry

   Av Paul S. Aspinwall, Tom Bridgeland m. fl.

   Inbunden, 2009

   1546 kr

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   Research in string theory has generated a rich interaction with algebraic geometry, with exciting new 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 …

4. 

   Geometrization Conjecture

   Av John Morgan, Gang Tian

   Inbunden, 2014

   1098 kr

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   This book gives a complete proof of the geometrization conjecture, which describes all compact 3-manifolds in terms of geometric pieces, i.e., 3-manifolds with locally homogeneous metrics of finite volume. The method is to understand the limits as time goes to infinity of Ricci flow with surgery. …

5. 

   Lecture Notes on Motivic Cohomology

   Av Carlo Mazza, Vladimir Voevodsky m. fl.

   Häftad, 2011

   678 kr

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   A co-publication of the AMS and Clay Mathematics InstituteThe notion of a motive is an elusive one, like its namesake "the motif" of Cezanne's impressionist method of painting. Its existence was first suggested by Grothendieck in 1964 as the underlying structure behind the myriad cohomology …