nLab Vadim Schechtman

• webpage

Selected writings

On the hypergeometric integral construction of solutions to the Knizhnik-Zamolodchikov equation:

• Vadim Schechtman, Alexander Varchenko, Integral representations of N-point conformal correlators in the WZW model, Max-Planck-Institut für Mathematik, (1989) Preprint MPI/89- $[$cds:1044951$]$

• Vadim Schechtman, Alexander Varchenko, Hypergeometric solutions of Knizhnik-Zamolodchikov equations, Lett. Math. Phys. 20 (1990) 279–283 $[$doi:10.1007/BF00626523$]$

• Vadim Schechtman, Alexander Varchenko, Arrangements of hyperplanes and Lie algebra homology, Inventiones mathematicae 106 1 (1991) 139-194 $[$dml:143938, pdf$]$

On the hypergeometric integral construction of conformal blocks for the $\mathfrak{sl}(n)$ WZW model:

• Boris Feigin, Vadim Schechtman, Alexander Varchenko, On algebraic equations satisfied by correlators in Wess-Zumino-Witten models, Lett Math Phys 20 (1990) 291–297 $[$doi:10.1007/BF00626525$]$

• Boris Feigin, Vadim Schechtman, Alexander Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models. I, Commun. Math. Phys. 163 (1994) 173–184 $[$doi:10.1007/BF02101739$]$

  (for $\mathfrak{sl}(2, \mathbb{C})$)

• Boris Feigin, Vadim Schechtman, Alexander Varchenko, On algebraic equations satisfied by hypergeometric correlators in WZW models. II, Comm. Math. Phys. 170 1 (1995) 219-247 $[$euclid:cmp/1104272957$]$

On chiral algebras in relation to quantum cohomology:

• Fyodor Malikov, Vadim Schechtman, Deformations of chiral algebras and quantum cohomology of toric varieties [arXiv:math/0001170]

On homotopy limits of homotopy algebras and introducing the notion of the dg-nerve:

• Vladimir Hinich, Vadim Schechtman, On homotopy limit of homotopy algebras, in: K-Theory, Arithmetic and Geometry – Seminar, Moscow University, 1984–1986, Lecture Notes in Mathematics 1289, Spinger (2006) 240–264 [doi:10.1007/BFb0078363]

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• chiral de Rham complex

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