Alexander A. Voronov
Publications

You can retrieve most of the papers by clicking the highlighted text. Otherwise, send your offprint requests by e-mail at voronov@umn.edu.

  1. Open-closed moduli spaces and related algebraic structures (with E. Harrelson and J. J. Zuniga). Preprint, September 2007, arXiv:0709.3874 [math.QA].
  2. Graph homology: Koszul and Verdier duality (with A. Lazarev). Preprint, February 2007, math.QA/0702313. To appear in Adv. Math.
  3. String Topology and Cyclic Homology (with R. L. Cohen and K. Hess), in: Adv. Courses Math. CRM Barcelona, Birkhäuser, Basel, 2006, 163 pp. math.GT/0503625.
  4. The canonical delooping machine (with B. Badzioch and K. Chung), J. of Pure and Applied Algebra 208 (2007), no. 2, 531-540, math.AT/0403098.
  5. On Kontsevich's Hochschild cohomology conjecture (with P. Hu and I. Kriz), Compos. Math. 142 (2006), no. 1, 143-168, math.AT/0309369.
  6. PROPped up graph cohomology (with M. Markl). Preprint IHES/M/03/47, July 2003, math.QA/0307081. Accepted to a collection dedicated to Manin's 70th birthday to be published by Springer Verlag.
  7. Notes on universal algebra. Graphs and Patterns in Mathematics and Theoretical Physics (M. Lyubich and L. Takhtajan, eds.), Proc. Sympos. Pure Math., vol. 73. AMS, Providence, RI, 2005, pp. 81-103, math.QA/0111009.
  8. Homotopy Gerstenhaber algebras. Conference Moshe Flato 1999 (G. Dito and D. Sternheimer, eds.), vol. 2. Kluwer Academic Publishers, the Netherlands, 2000, pp. 307-331, math.QA/9908040.
  9. The Swiss-cheese operad, Homotopy invariant algebraic structures (Baltimore, MD, 1998), Contemp. Math., vol. 239. AMS, Providence, RI, 1999, pp. 365-373, math.QA/9807037.
  10. Cohomology of conformal algebras (with B. Bakalov and V. G. Kac), Comm. Math. Phys. 200 (1999), 561-598, math.QA/9803022.
  11. Stability of the rational homotopy type of moduli spaces, Higher homotopy structures in topology and mathematical physics (Poughkeepsie, NY, 1996), Contemp. Math., vol. 227. AMS, Providence, RI, 1999, pp. 315-321, alg-geom/9708019.
  12. Semi-infinite induction and Wakimoto modules, Amer. J. Math. 121 (1999), no. 5, 1079-1094, q-alg/9704020.
  13. Quantizing Poisson manifolds. Perspectives on Quantization (L. A. Coburn and M. A. Rieffel, eds.), Contemp. Math., vol. 214. AMS, Providence, RI, 1998, pp. 189-195, q-alg/9701017.
  14. Operads: Proceedings of Renaissance Conferences (coedited with J.-L. Loday and J. Stasheff), Contemp. Math., vol. 202. AMS, Providence, RI, 1997.
  15. Homotopy Gerstenhaber algebras and topological field theory (with T. Kimura and G. Zuckerman). Operads: Proceedings of Renaissance Conferences (J.-L. Loday, J. Stasheff, and A. A. Voronov, eds.), Contemp. Math., vol. 202. AMS, Providence, RI, 1997, pp. 305-334, q-alg/9602009.
  16. Semiquantum geometry (with N. Reshetikhin and A. Weinstein). Algebraic geometry, 5. J. Math. Sci. 82 (1996), no. 1, 3255-3267. q-alg/9606007.
  17. Homology of moduli spaces of curves and commutative homotopy algebras (with T. Kimura and J. Stasheff). The Gelfand Mathematical Seminars, 1993-1995. Edited by I. Gelfand, J. Lepowsky, and M. M. Smirnov. Birkhäuser, Boston, Inc., Boston, MA, 1996, pp. 151-170, alg-geom/9502006.
  18. Cohomology and deformation of Leibniz pairs (with M. Flato and M. Gerstenhaber). Letters in Mathematical Physics 34(1), 77-90 (1995), q-alg/9502006.
  19. The cohomology of algebras over moduli spaces (with T. Kimura). In: The Moduli Space of Curves (R. Dijkgraaf, C. Faber, and G. van der Geer, eds.) Progress in Mathematics, vol. 129. Birkhäuser, Boston, MA, 1995, pp. 305-334, hep-th/9410108.
  20. Homotopy G-algebras and moduli space operad (with M. Gerstenhaber). Internat. Math. Research Notices 141-153 (1995), hep-th/9409063.
  21. Higher-order operations on the Hochschild complex (with M. Gerstenhaber). Functional Anal. Appl. 29(1), 1-6 (1995) [Russian version]  [English version].
  22. On operad structures of moduli spaces and string theory (with T. Kimura and J. Stasheff). Comm. Math. Phys. 171, 1-25 (1995), hep-th/9307114.
  23. Topological field theories, string backgrounds and homotopy algebras. In: Proceedings of the XXIInd International Conference on Differential Geometric Methods in Theoretical Physics, Ixtapa-Zihuatanejo, Mexico (J. Keller and Z. Oziewicz, eds.) Advances in Applied Clifford Algebras (Proc. Suppl.) 4(S1) 167-178 (1994), hep-th/9401023.
  24. Semi-infinite cohomology of Lie algebras. Proc. Sympos. Pure Math. 56, part 2, 401-415 (1994)
  25. Semi-infinite homological algebra. Invent. Math. 113, 103-146 (1993)
  26. BRST cohomology: a new derived functor. In: XXth International Conference on Differential Geometric Methods in Theoretical Physics, vol. 2. World Scientific, Singapore, 1992, pp. 905-912.
  27. Complex divisors on algebraic curves and some applications to string theory. Contemp. Math. 131, part 3, 515-522 (1992), alg-geom/9202028.
  28. A unified approach to string scattering amplitudes. Comm. Math. Phys. 131, 179-218 (1990). Erratum: 140, 415-416 (1991).
  29. Superconformal geometry and string theory (with A. A. Rosly and A. S. Schwarz). Comm. Math. Phys. 120(3), 437-450 (1989).
  30. Geometry of superconformal manifolds (with A. A. Rosly and A. S. Schwarz). Comm. Math. Phys. 119, 129-152 (1988).
  31. Supercellular partitions of flag superspaces (with Yu. I. Manin). Current problems in mathematics. Newest results, USSR Acad. Sci., Moscow. 32, 27-70 (1988). (in Russian). English translation: J. Soviet Math. 51(1), 2083-2108 (1990).
  32. Elements of supergeometry (with Yu. I. Manin and I. B. Penkov). Current problems in mathematics. Newest results, USSR Acad. Sci., Moscow. 32, 3-26 (1988) (in Russian). English translation: J. Soviet Math. 51(1), 2069-2082 (1990).
  33. A formula for the Mumford measure in superstring theory. Functional Anal. Appl. 22(2), 139-140 (1988).
  34. The relative disposition of Schubert supervarieties and the resolution of their singularities. Functional Anal. Appl. 21, 62-64 (1987).
  35. Schubert supercells (with Yu. I. Manin). Functional Anal. Appl. 18, 329-330 (1985).
  36. Maps of supermanifolds. Theoret. and Math. Phys. 60, 660-664 (1985).

This page has been accessed at least several times since the counter was last reset, or January 18, 1997, whichever is more recent.
Alexander A. Voronov
Last modified: Thu Mar 1 19:16:17 CST 2007