Boris L Tsygan

Research Output

Research Output per year 1983 1983 1985 1995 1996 2001 2002 2007 2009 2011 2015 2018 2024

• 32 Article
• 6 Conference contribution
• 3 Chapter
• 1 Editorial

Research Output per year

Research Output per year

Search results

• 2024

  On noncommutative differential forms

  Tsygan, B., 2024, Higher Structures in Topology, Geometry, and Physics - AMS Special Session Higher Structures in Topology, Geometry, and Physics, 2022. Kaufmann, R. M., Markl, M. & Voronov, A. A. (eds.). American Mathematical Society, p. 1-22 22 p. (Contemporary Mathematics; vol. 802).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Noncommutative 100%
  • Differential Forms 100%
  • Differential Form 100%
  • Calculus 50%
  • Algebraic Structure 50%
• 2023

  On noncommutative crystalline cohomology

  Tsygan, B., 2023, Cyclic Cohomology at 40: Achievements and Future Prospects. Connes, A., Connes, A., Consani, C., Dundas, B. I., Khalkhali, M. & Moscovici, H. (eds.). American Mathematical Society, p. 491-511 21 p. (Proceedings of Symposia in Pure Mathematics; vol. 105).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Noncommutative 100%
  • Crystalline Cohomology 100%
  • Associative Algebra 50%
  • Fields of Positive Characteristic 50%
• 2018

  A microlocal category associated to a symplectic manifold

  Tsygan, B., 2018, Algebraic and Analytic Microlocal Analysis - AAMA, Evanston, Illinois, USA, 2012 and 2013. Hitrik, M., Tamarkin, D., Tsygan, B. & Zelditch, S. (eds.). Springer New York LLC, p. 225-337 113 p. (Springer Proceedings in Mathematics and Statistics; vol. 269).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Symplectic Manifold 100%
  • Microlocal 100%
  • Fukaya Category 33%
  • Local Systems 33%
  • 2-torus 33%
  4 Scopus citations
• 2012

  Noncommutative Calculus and Operads

  Tsygan, B. L., 2012, Topics in Noncommutative Geometry. Cortinas, G. (ed.). AMS-CMI, p. 19-66 48 p. (Clay Mathematics Proceedings; vol. 16).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
• 2011

  Algebraic index theorem for symplectic deformations of gerbes

  Bressler, P., Gorokhovsky, A., Nest, R. & Tsygan, B. L., 2011, Noncommutative Geometry and Global Analysis. Connes, A., Gorokhovsky, A., Lesch, M., Pflaum, M. & Rangipour, B. (eds.). American Mathematical Society, p. 23-39 17 p. (Contemporary Mathematics; vol. 546).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
• 2005

  The ring of differential operators on forms in noncommutative calculus

  Tamarkin, D. E. & Tsygan, B. L., 2005, Graphs and Patterns in Mathematics and Theoretical Physics. Lyubich, M. & Takhtajan, L. (eds.). American Mathematical Society, p. 105-138 34 p. (Proceedings of Symposia in Pure Mathematics; vol. 73).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution