**Contemporary Mathematics**

Volume: 322;
2003;
244 pp;
Softcover

MSC: Primary 14; 17; 20; 32; 57;

Print ISBN: 978-0-8218-3264-6

Product Code: CONM/322

List Price: $80.00

AMS Member Price: $64.00

MAA Member Price: $72.00

**Electronic ISBN: 978-0-8218-7912-2
Product Code: CONM/322.E**

List Price: $80.00

AMS Member Price: $64.00

MAA Member Price: $72.00

# Vector Bundles and Representation Theory

Share this page *Edited by *
*S. Dale Cutkosky; Dan Edidin; Zhenbo Qin; Qi Zhang*

This volume contains 13 papers from the conference on “Hilbert
Schemes, Vector Bundles and Their Interplay with Representation Theory”.
The papers are written by leading mathematicians in algebraic geometry and
representation theory and present the latest developments in the field.

Among other contributions, the volume includes several very impressive and
elegant theorems in representation theory by R. Friedman and J. W. Morgan,
convolution on homology groups of moduli spaces of sheaves on K3 surfaces by H.
Nakajima, and computation of the \(S^1\) fixed points in Quot-schemes and
mirror principle computations for Grassmannians by S.-T. Yau, et al.

The book is of interest to graduate students and researchers in algebraic
geometry, representation theory, topology and their applications to high energy
physics.

#### Readership

Graduate students and research mathematicians interested in algebraic geometry, representation theory, topology, and their applications to high energy physics.

# Table of Contents

## Vector Bundles and Representation Theory

- Contents v6 free
- Preface vii8 free
- Minuscule representations, invariant polynomials, and spectral covers 110 free
- Fourier-Mukai partners of a K3 surface of Picard number one 4352
- Moduli spaces associated to a singular variety and the moduli of bundles over universal curves 5766
- Convolution on homology groups of moduli spaces of sheaves on K3 surfaces 7584
- Curves in the Hilbert schemes of points on surfaces 8998
- Limiting linear subspaces on non-reduced schemes 97106
- Geometry of canonical covers of varieties of minimal degree with applications to Calabi-Yau threefolds 107116
- Universal rings arising in geometry and group theory 125134
- HyperKähler manifolds and birational transformations in dimension 4 141150
- Standard vector bundle deformations on Pn 151160
- The S1 fixed points in Quot-schemes and mirror principle computations 165174
- The semi-infinity of Floer (co)homologies 195204
- Automorphism sheaves, spectral covers, and the Kostant and Steinberg sections 217226