Chern numbers and Rozansky-Witten invariants of compact hyper-Kahler manifolds / Marc Nieper-Wisskirchen.

Format:

Book

Author/Creator:

Nieper-Wisskirchen, Marc.

Language:

English

Subjects (All):

Kählerian manifolds.

Manifolds (Mathematics).

Invariants.

Geometry, Differential.

Physical Description:

1 online resource (xxii, 150 p. ) ill.

Edition:

1st ed.

Place of Publication:

River Edge, N.J. : World Scientific, c2004.

Language Note:

English

Summary:

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-K hler manifolds, the book includes a detailed discussion on the applications of the general theory to the two main example series of compact hyper-K hler manifolds: the Hilbert schemes of points on a K3 surface and the generalized Kummer varieties.

Contents:

Compact hyper-Kahler manifolds and holomorphic symplectic manifolds

Graph homology

Rozansky-Witten theory

Calculations for the example series.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references (p. 141-142) and index.

ISBN:

9786611872342

9781281872340

1281872342

9789812562357

9812562354

OCLC:

614782959