Geometric Integration Theory on Supermanifolds

Janielw — Fri, 08 Oct 2021 22:52:16 +0000

This volume provides a detailed account of the theory of forms on supermanifolds – a correct and non-trivial analogue of Cartan-De Rham theory based on new concepts. It also develops supermanifold differential topology including such notions as supermanifolds with boundary and supermanifold bordism, naturally arising for the needs of integration theory. One of the key features is the identification of a class of “proper morphisms” of supermanifolds, intimately connected with Berezin integration and of fundamental importance in various problems.

Topological and Algebraic Geometry Methods in Contemporary Mathematical Physics

Janielw — Fri, 08 Oct 2021 22:41:25 +0000

Part one concerns Hamiltonian formalism and methods that generalise Morse for certain dynamical systems of physical origin.

Part two presents algebraic geometry analysis of the Yang-Baxter equations for two-dimensional models

Part three presents the theory of multidimensional theta functions of Abel, Riemann, Poincare in a form that is elementally and convenient for applications.

Classic Reviews in Mathematics and Mathematical Physics – Cambridge Scientific Publishers Ltd

Geometric Integration Theory on Supermanifolds

Topological and Algebraic Geometry Methods in Contemporary Mathematical Physics