nLab
Albert Schwarz

Albert Schwarz is a mathematician and a theoretical physicist born in Soviet Union and now Professor at University of California-Davis (web). He was one of the pioneers of Morse theory and brought up a first example of a topological quantum field theory. Schwarz worked on some examples in noncommutative geometry. He is “S” of the famous AKSZ model.

  • wikipedia German

  • Albert Schwarz, My life in science (pdf)

Selected publications

(See also the list of arXiv articles of A. Schwarz.)

  • The partition function of a degenerate functional, Commun. Math. Phys. 67, 1 (1979)

  • M. Alexandrov, M. Kontsevich, A. Schwarz, O. Zaboronsky, The geometry of the master equation and topological quantum field theory, Int. J. Modern Phys. A 12(7):1405–1429, 1997, hep-th/9502010

  • Albert Schwarz, Oleg Zaboronsky, Supersymmetry and localization, Comm. Math. Phys. 183, 2 (1997), 463-476, euclid

  • Geometry of Batalin-Vilkovisky quantization, Commun. Math. Phys. 155, 249 (1993), euclid

  • Semiclassical approximation in Batalin-Vilkovisky formalism, Comm. Math. Phys. 158 (1993), no. 2, 373–396, euclid

  • monograph: Quantum field theory and topology, Grundlehren der Math. Wissen. 307, Springer 1993. (translated from Russian original Kvantovaja teorija polja i topologija, Nauka, Moscow, 1989. 400 pp.)

  • scientific reminiscences, pdf

  • V. Kac, A. Schwarz, Geometric interpretation of the partition function of 22D gravity, Phys. Lett. B 257 (1991), no. 3-4, 329–334, doi

  • A. A. Belavin, A. M. Polyakov, A. S. Schwartz, Yu. S. Tyupkin, Pseudoparticle solutions of the Yang-Mills equations, Phys. Lett. B 59 (1975), no. 1, 85–87, http://dx.doi.org/10.1016/0370-2693(75)90163-X

  • S. N. Dolgikh, A. A. Rosly, A. S. Schwarz, Supermoduli spaces, Comm. Math. Phys. 135 (1990), no. 1, 91–100, euclid

  • V. N. Romanov, A. S. Švarc, Anomalies and elliptic operators, (Russian) Teoret. Mat. Fiz. 41 (1979), no. 2, 190–204.

  • Математические основы квантовой теории поля, Atomizdat, Moscow, 1975. 368 pp.

category: people

Revised on March 24, 2015 13:19:34 by Urs Schreiber (195.113.30.252)