Deformation Spaces

Perspectives on algebro-geometric moduli
2010
ISBN: 978-3-8348-2669-5
Verlag: Vieweg+Teubner Verlag

Buch, Englisch, Band 40, 173 Seiten, Previously published in hardcover, Format (B × H): 168 mm x 240 mm, Gewicht: 320 g

Reihe: Aspects of Mathematics

The first instances of deformation theory were given by Kodaira and Spencer for complex structures and by Gerstenhaber for associative algebras. Since then, deformation theory has been applied as a useful tool in the study of many other mathematical structures, and even today it plays an important role in many developments of modern mathematics.
This volume collects a few self-contained and peer-reviewed papers by experts which present up-to-date research topics in algebraic and motivic topology, quantum field theory, algebraic geometry, noncommutative geometry and the deformation theory of Poisson algebras. They originate from activities at the Max-Planck-Institute for Mathematics and the Hausdorff Center for Mathematics in Bonn.

Zielgruppe

Research

Autoren/Hrsg.

Abbaspour, Hossein

Tradler, Thomas

Marcolli, Matilde

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

On the Hochschild and Harrison (co)homology of C ?-algebras and applications to string topology.- What is the Jacobian of a Riemann Surface with Boundary?.- Pure weight perfect Modules on divisorial schemes.- Higher localized analytic indices and strict deformation quantization.- An algebraic proof of Bogomolov-Tian-Todorov theorem.- Quantizing deformation theory.- L ?-interpretation of a classification of deformations of Poisson structures in dimension three.

Über Autor(innen)

Dr. Hossein Abbaspour, Department of Mathematics, Université de Nantes, France.
Prof. Dr. Matilde Marcolli, Department of Mathematics, California Institute of Technology, Pasadena, California, USA.
Dr. Thomas Tradler, Department of Mathematics, New York City College of Technology (CUNY), New York, USA.