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Deformation Spaces

Perspectives on algebro-geometric moduli
Buch | Hardcover
VII, 173 Seiten
2010 | 2010
Vieweg & Teubner (Verlag)
978-3-8348-1271-1 (ISBN)
CHF 74,85 inkl. MwSt
Topics of Modern 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.

Contributions by Grégory Ginot, Thomas M. Fiore and Igor Kriz, Toshiro Hiranouchi and Satoshi Mochizuki, Paulo Carrillo Rouse, Donatella Iacono and Marco Manetti, John Terilla, Anne Pichereau

- Researchers in the fields of deformation theory, noncommutative geometry, algebraic topology, mathematical physics
- Advanced graduate students in mathematics

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.

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.

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.

Erscheint lt. Verlag 26.3.2010
Reihe/Serie Aspects of Mathematics
Zusatzinfo VII, 173 p.
Verlagsort Wiesbaden
Sprache englisch
Maße 170 x 240 mm
Gewicht 510 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Schlagworte Algebraic Geometry • algebraic topology • Deformationen (Mathematik) • deformation theory • Hochschild Cohomology • Mathematical Physics • Noncommutative Geometry • quantum field theory • Raum
ISBN-10 3-8348-1271-4 / 3834812714
ISBN-13 978-3-8348-1271-1 / 9783834812711
Zustand Neuware
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