The Influence of Solomon Lefschetz in Geometry and Topology: 50 Years of Mathematics at CINVESTAV
About this Title
Ludmil Katzarkov, Universität Wien, Wien, Austria, Ernesto Lupercio, Cinvestav-Mexico, Mexico and Francisco J. Turrubiates, Instituto Politécnico Nacional México, Mexico, Editors
Publication: Contemporary Mathematics
Publication Year 2014: Volume 621
ISBNs: 978-0-8218-9494-1 (print); 978-1-4704-1886-1 (online)
The influence of Solomon Lefschetz (1884–1972) in geometry and topology 40 years after his death has been very profound. Lefschetz's influence in Mexican mathematics has been even greater. In this volume, celebrating 50 years of mathematics at Cinvestav-México, many of the fields of geometry and topology are represented by some of the leaders of their respective fields.
This volume opens with Michael Atiyah reminiscing about his encounters with Lefschetz and México. Topics covered in this volume include symplectic flexibility, Chern–Simons theory and the theory of classical theta functions, toric topology, the Beilinson conjecture for finite-dimensional associative algebras, partial monoids and Dold–Thom functors, the weak b-principle, orbit configuration spaces, equivariant extensions of differential forms for noncompact Lie groups, dynamical systems and categories, and the Nahm pole boundary condition.
Graduate students and research mathematicians interested in algebraic geometry, symplectic geometry, and algebraic topology.
Table of Contents
- Michael Atiyah – Solomon Lefschetz and Mexico
- Yakov Eliashberg – Recent Progress in Symplectic Flexibility
- Hugo García-Compeán, Pablo Paniagua and Bernardo Uribe – Equivariant Extensions of Differential Forms for Non-compact Lie Groups
- Răzvan Gelca and Alejandro Uribe – From Classical Theta Functions to Topological Quantum Field Theory
- Samuel Gitler – Toric Topology
- Dmitry Kaledin – Beilinson Conjecture for Finite-dimensional Associative Algebras
- Jacob Mostovoy – Partial Monoids and Dold-Thom Functors
- Rustam Sadykov – The Weak b-principle
- Miguel A. Xicoténcatl – Orbit Configuration Spaces
- G. Dimitrov, F. Haiden, L. Katzarkov and M. Kontsevich – Dynamical Systems and Categories
- Rafe Mazzeo and Edward Witten – The Nahm Pole Boundary Condition