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Introduction to M(atrix) theory and noncommutative geometry
A. Konechny, A. Schwarz
Noncommutative geometry is based on an idea that an associative algebra can be regarded as "an algebra of functions on a noncommutative space". The major contribution to noncommuta…
Gauge theories on noncommutative spaces
Albert Schwarz
I review my results about noncommutative gauge theories and about the relation of these theories to M(atrix) theory following my lecture on ICMP 2000.
Topological quantum field theories
Albert Schwarz
Following my plenary lecture on ICMP2000 I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge theo…
Noncommutative Algebraic Equations and Noncommutative Eigenvalue Problem
Albert Schwarz
We analyze the perturbation series for noncommutative eigenvalue problem where is an element of a noncommutative ring, is a matrix and is a column vector with…