Vasily Gorbunov – Research output — The University of Aberdeen Research Portal

176

Citations

Research activity per year

16 Article
2 Chapter

18 results

2020
Electrical varieties as vertex integrable statistical models
Gorbunov, V. & Talalaev, D., 21 Oct 2020, In: Journal of Physics. A, Mathematical and theoretical. 53, 45, 28 p., 454001.
Research output: Contribution to journal › Article › peer-review

Open Access
File
7 Citations (Scopus)

7 Downloads (Pure)
Yang-Baxter algebras as convolution algebras: the Grassmannian case
Gorbunov, V., Korff, C. & Stroppel, C., 1 Aug 2020, In: RUSSIAN MATHEMATICAL SURVEYS. 75, 5, 36 p., 791.
Research output: Contribution to journal › Article › peer-review

Open Access
File
2 Citations (Scopus)

4 Downloads (Pure)
Chiral differential operators via quantization of the holomorphic σ-model
Gorbounov, V., Gwilliam, O. & Williams, B. R., 14 Jun 2020, In: Astérisque. 419, p. viii+210 211 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
17 Citations (Scopus)

21 Downloads (Pure)
2017
Quantum Integrability and Generalised Quantum Schubert Calculus
Gorbunov, V. & Korff, C., 20 Jun 2017, In: Advances in Mathematics. 313, p. 282-356 75 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
30 Citations (Scopus)

11 Downloads (Pure)
2016
The Berkovits Complex and Semi-free Extensions of Koszul Algebras
Galvez, I., Gorbunov, V., Shaikh, Z. & Tonks, A., 2016, In: Annales de la Faculté des Sciences de Toulouse. XXV, 2-3, p. 363-384 22 p.
Research output: Contribution to journal › Article › peer-review

Open Access
File
9 Downloads (Pure)
2015
Some Remarks on landau-Ginzburg Potentials for Odd-Dimensional Quadrics
Gorbunov, V. & Smirnov, M., 25 Sept 2015, In: Glasgow Mathematical Journal. 57, 3, p. 481-507 27 p.
Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus)
2013
Quantum cohomology of the cotangent bundle of a flag variety as a Yangian Bethe algebra
Gorbunov, V., Rimanyi, R., Tarasov, V. & Varchenko, A., Dec 2013, In: Journal of Geometry and Physics. 74, p. 56-86 31 p.
Research output: Contribution to journal › Article › peer-review
35 Citations (Scopus)
2012
Schubert calculus and singularity theory
Gorbunov, V. & Petrov, V., Feb 2012, In: Journal of Geometry and Physics. 62, 2, p. 352-360 9 p.
Research output: Contribution to journal › Article › peer-review
4 Citations (Scopus)
2010
Homotopy Gerstenhaber structures and vertex algebras
Gálvez, I., Gorbunov, V. & Tonks, A., Feb 2010, In: Applied Categorical Structures. 18, 1, p. 1-15 15 p.
Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus)
2009
Homological algebra and divergent series
Gorbunov, V. & Schechtman, V., 2009, In: Symmetry, Integrability and Geometry: Methods and Applications. 5, 31 p., 034.
Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus)
2008
Mirror symmetry formulae for the elliptic genus of complete intersections
Gorbunov, V. & Ochanine, S., Apr 2008, In: Journal of Topology. 1, 2, p. 429-445 17 p.
Research output: Contribution to journal › Article › peer-review
3 Citations (Scopus)
2005

Twisted chiral de Rham algebras on $\Bbb P\sp 1$.
Gorbounov, V., Malikov, F. & Schechtman, V., 2005, Graphs and patterns in mathematics and theoretical physics, Proc. Sympos. Pure Math.. Graphs and patterns in mathematics and theoretical physics, Proc. Sympos. Pure Math., p. 133-148 15 p.
Research output: Chapter in Book/Report/Conference proceeding › Chapter
2004

Vertex algebras and the Landau-Ginzburg/Calabi-Yau correspondence.
Gorbounov, V. & Malikov, F., Jul 2004, In: Moscow Mathematical Journal. 4, 3, p. 729-779 50 p.
Research output: Contribution to journal › Article › peer-review
Gerbes of chiral differential operators. II. Vertex algebroids.
Gorbounov, V., Malikov, F. & Schechtman, V. G., Mar 2004, In: Inventiones Mathematicae. 155, 3, p. 605-680 75 p.
Research output: Contribution to journal › Article › peer-review

59 Citations (Scopus)
The BRST operator for quantum Lie algebras: a connection with the bar complex. (Russian)
Gorbounov, V., Isaev, A. P. & Ogievetskiui, O. V., 2004, In: Akademiya Nauk SSSR. Teoreticheskaya i Matematicheskaya Fizika. 139, 1, p. 29-44 15 p.
Research output: Contribution to journal › Article › peer-review
The chiral de Rham complex and positivity of the equivariant signatures of some loop spaces.
Malikov, F. & Gorbounov, V., 2004, In: Manuscripta Mathematica. 113, 3, p. 359-370 11 p.
Research output: Contribution to journal › Article › peer-review
1 Citation (Scopus)
2003

Gerbes of chiral differential operators. III. The orbit method in geometry and physics
Gorbounov, V., Malikov, F. & Schechtman, V., 2003, The Orbit Method in Geometry and Physics, Editors Christian Duval, Laurent Guieu and Valentin Ovsienko, Birkhauser of Boston, Basel, Berlin. The Orbit Method in Geometry and Physics, Editors Christian Duval, Laurent Guieu and Valentin Ovsienko, Birkhauser of Boston, Basel, Berlin, p. 73-100 27 p.
Research output: Chapter in Book/Report/Conference proceeding › Chapter
2001

On chiral differential operators over homogeneous spaces.
Gorbounov, V., Malikov, F. & Schechtman, V., Feb 2001, In: International Journal of Mathematics and Mathematical Sciences. 26, 2, p. 83-106 23 p.
Research output: Contribution to journal › Article › peer-review