Advances in Geometry: Volume 1 / Edition 1 available in Hardcover
- Pub. Date:
- Birkhï¿½user Boston
This collection of invited mathematical papers by an impressive list of distinguished mathematicians is an outgrowth of the scientific activities at the Center for Geometry and Mathematical Physics of Penn State University.The articles present new results or discuss interesting perspectives on recent work that will be of interest to researchers and graduate students working in symplectic geometry and geometric quantization, deformation quantization, non-commutative geometry and index theory, quantum groups, holomorphic algebraic geometry and moduli spaces, quantum cohomology, algebraic groups and invariant theory, and characteristic classes.
Contributors to the volume:A. Astashkevich, A. Banyaga, P. Bieliavsky, A. Broer, J.-L. Brylinski, R. Brylinski, S. Fomin, P. Foth, P. Gajer, M. Kapovich, A.A. Kirillov, E. Meinrenken, J. Millson, G. Nagy, R. Nest, A. Postnikov, J.-E. Roos, B. Tsygan, N. Wallach, C. Woodward
Table of Contents
On Karabegov’s Quantizations of Semisimple Coadjoint Orbits.- Exotic Differential Operators on Complex Minimal Nilpotent Orbits.- The Geometry Surrounding the Arnold-Liouville Theorem.- Symmetric Spaces and Star Representations.- Hyperplane Arrangements, Springer Representations and Exponents.- Comparison of the Beilinson-Chern Classes with the Chern-Cheeger-Simons Classes.- Geometric Construction of Quillen Line Bundles.- Quadratic Algebras, Dunkl Elements, and Schubert Calculus.- Logarithmic Forms with Twisted Coefficients.- Higher Holonomies, Geometric Loop Groups and Smooth Deligne Cohomology.- Moduli Spaces of Linkages and Arrangements.- Moduli Spaces of Flat Connections on 2-Manifolds, Cobordism, and Witten’s Volume Formulas.- A Rigidity Property for QuantumSU(3) Groups.- On the Cohomology Ring of an Algebra.- On A Quantum Version of Pieri’s Formula.- Some Non-Koszul Algebras.- A Variety of Solutions to the Yang-Baxter Equation.