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Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds
 
 
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Chern Numbers And Rozansky-witten Invariants Of Compact Hyper-kahler Manifolds [Hardcover]

Marc Nieper Wibkirchen (Author)

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Book Description

June 2004
This unique book deals with the theory of Rozansky-Witten invariants, introduced by L Rozansky and E Witten in 1997. It covers the latest developments in an area where research is still very active and promising. With a chapter on compact hyper-Kahler manifolds, the book includes a detailed discussion on the applications of the general theory to the two main example series of compact hyper-Kahler manifolds: the Hilbert schemes of points on a K3 surface and the generalized Kummer varieties.

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... ideal for advanced graduate students or research mathematicians with no prior knowledge of Rozansky–Witten invariants. -- Mathematical Reviews

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Inside This Book (learn more)
First Sentence:
We assume that all manifolds in this section are connected. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
graph homology classes, holomorphic symplectic manifold, graph homology space, wheeling element, holomorphic symplectic form, algebra object, symmetric monoidal category, holomorphic connection, trivalent vertices, tech cocycle, symmetric monoidal categories, forgetful map, tangent sheaf, global section functor, trivalent vertex, abelian surface, tensor category, canonical sheaf, internal vertices, ringed space, coherent sheaves, symplectic manifolds, locally free sheaves, complex torus, compact complex manifold
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Wheeling Theorem, Definition Let
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