nLab Yakov Eliashberg

Yakov Eliashberg (Яков Матвеевич Элиашберг) is a Russian-American mathematician who has made contributions to contact and symplectic topology. He is currently the Herald L. and Caroline L. Ritch Professor of Mathematics at Stanford.

• Stanford faculty page

• Wikipedia page

Selected writings

On contact 3-manifolds:

• Yakov Eliashberg, Classification of overtwisted contact structures on 3-manifolds, Invent. Math. 98 (1989), 623-637. (pdf)

• Yakov Eliashberg, Contact 3-manifolds twenty years since J Martinet’s work, Ann. Inst. Fourier 42 (1992), 165-192. (pdf)

On quantomorphism groups:

• Yakov Eliashberg, Leonid Polterovich?, Partially ordered groups and geometry of contact transformations. Geom. Funct. Anal. 10 (2000), no. 6, 1448-1476. (arXiv:math/9910065, doi)

On symplectic field theory:

• Yakov Eliashberg, Alexander Givental, Helmut Hofer, Introduction to symplectic field theory, in N. Alon, J. Bourgain, A. Connes, M. Gromov, V. Milman, eds., Visions in Mathematics: GAFA 2000 Special volume, Part II, 2010, pp 560-673. (arXiv:math.SG/0010059, book chapter)

On Gromov’s $h$-principle:

• Yakov Eliashberg, Nikolai Mishachev, Holonomic approximation and Gromov’s h-principle, arXiv:math/0101196.

• Yakov Eliashberg, Nikolai Mishachev, Introduction to the h-principle, Graduate Studies in Mathematics 48, Amer. Math. Soc., 2002. Google Books

Related $n$Lab pages

• contact manifold

• h-principle

• quantomorphism group

• symplectic field theory

• Timeline of category theory and related mathematics