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.
Books and Collections:
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Higher Structures in Topology, Geometry and Physics
(coedited with R. M. Kaufmann and M. Markl), Contemp. Math., vol. 802. AMS,
Providence, RI, 2024, 321 pp.
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String
topology and cyclic homology (with R. L. Cohen and K. Hess),
Adv. Courses in Math. CRM Barcelona. Birkhäuser, Basel,
2006.
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Operads:
Proceedings of Renaissance Conferences (coedited with
J.-L. Loday and J. Stasheff), Contemp. Math., vol. 202. AMS,
Providence, RI, 1997.
Popular Science Notes:
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Memorial
article for Yuri Manin (with Bogomolov; Tschinkel;
Beilinson; Berkovich; Colliot-Thélène; Drinfeld; Goncharov; Harris;
Katz; Kaufmann; Marcolli; Penkov; Schechtman; Skorobogatov;
Shokurov; Tsfasman; Zagier; and Zarkhin), Notices of the
AMS 70 (2023), no. 11, 1831-1849.
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What
IPMU stands for. Kavli IPMU News. 45
(2019), 9.
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λ-Adic
topology.
Kavli IPMU News. 42 (2018),
22. Version
in Japanese.
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What
is a WDVV-algebra?
Kavli IPMU News. 42 (2018),
16. Version
in Japanese.
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Hey,
tell me what you do in research!
Kavli IPMU News. 37 (2017),
14. Version
in Japanese.
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In
search of solitons in Amsterdam.
Kavli IPMU News. 34 (2016),
13. Version
in Japanese.
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Urashima
effect: a version. Kavli IPMU News. 31 (2015),
22-23. Version
in Japanese.
Papers:
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Mysterious Triality and the Exceptional Symmetry of Loop Spaces
(with H. Sati), Preprint IPMU24-0036, 29
pages, arXiv:2408.13337
[math.AT].
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Rational Homotopy Theory, Preprint IPMU24-0012, 20
pages, arXiv:2404.00939
[math.AT], accepted to Encyclopedia of Mathematical Physics, 2nd
edition.
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Tree-Level Superstring Amplitudes: The Neveu-Schwarz Sector
(with S. L. Cacciatori, S. Grushevsky), Preprint IPMU24-0008, 25
pages, arXiv:2403.09600
[hep-th], accepted to JHEP.
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Mysterious Triality and M-Theory (with H. Sati), Preprint
IPMU23-0001, 69
pages, arXiv:2212.13968
[hep-th], accepted to Adv. Theor. Math. Phys.
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Mysterious Triality and Rational Homotopy Theory (with
H. Sati), Commun. Math. Phys. 400 (2023), no. 3, 1915-1960, arXiv:2111.14810
[hep-th].
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The supermoduli space of genus zero super Riemann surfaces with
Ramond punctures (with N. Ott), 45 pp., Journal of Geometry
and Physics, 185, (2023),
104726, arXiv:1910.05655
[math.AG].
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On the BV structure on the cohomology of moduli space (with
S. Sakalli), Pure and Applied Mathematics Quarterly 16 (2020),
no. 3, 755-773, Journal
Online, arXiv:1912.13045
[math.AG].
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Quantizing deformation theory II, Pure and Applied Mathematics
Quarterly 16 (2020), no. 1, 125-152, Journal
Online, arXiv:1806.11197
[math.QA].
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On homotopy Lie bialgebroids (with D. Bashkirov), Preprint
IPMU16-0198, 21
pp., arXiv:1612.02026
[math.QA].
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The MV formalism for IBL∞- and
BV∞-algebras (with M. Markl), Lett. Math.
Phys. 107 (2017), no. 8,
1515-1543, Springer
Online
First, arXiv:1511.01591
[math.QA].
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Categorification of Dijkgraaf-Witten Theory (with A. Sharma),
Adv. Theor. Math. Phys. 21 (2017), no. 4,
1023-1061, arXiv:1511.00295
[math.AT].
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The BV formalism for L∞-algebras (with
D. Bashkirov), J. Homotopy Relat. Struct. 12 (2017), no. 2,
305-327, arXiv:1410.6432
[math.QA].
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r∞-Matrices, triangular
L∞-bialgebras, and quantum∞
groups (with D. Bashkirov). Geometric Methods in
Physics. XXXIII Workshop 2014, 39-47, Trends in Mathematics,
Birkhäuser Boston, Inc., Boston, MA,
2015, arXiv:1412.2413
[math.QA].
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A higher category of cobordisms and topological quantum field
theory (with M. Feshbach), Preprint IPMU11-0143, 37 pp.,
arXiv:1108.3349
[math.QA].
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Open-closed moduli spaces and related algebraic structures
(with E. Harrelson and J. J. Zuniga). Lett. Math. Phys. 94
(2010), no. 1, 1-26,
arXiv:0709.3874[math.QA].
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Graph homology: Koszul and Verdier duality (with A. Lazarev),
Adv. Math. 218 (2008), no. 6,
1878-1894,
arXiv:math/0702313 [math.QA].
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Notes on string topology (with
R. L. Cohen), String
topology and cyclic homology, 1-95, Adv. Courses Math. CRM
Barcelona, Birkhäuser, Basel,
2006, arXiv:math/0503625
[math.GT].
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The canonical delooping machine (with B. Badzioch and
K. Chung), J. of Pure and Applied Algebra 208 (2007), no. 2,
531-540, arXiv:math/0403098
[ math.AT].
-
On Kontsevich's Hochschild cohomology conjecture (with P. Hu
and I. Kriz), Compos. Math. 142 (2006), no. 1,
143-168,
arXiv:math/0309369 [math.AT].
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PROPped-up graph cohomology (with M. Markl). Algebra,
arithmetic, and geometry: in honor of Yu. I. Manin. Vol. II, 249-281,
Progr. Math., 270, Birkhäuser Boston, Inc., Boston, MA,
2009, arXiv:math/0307081
[math.QA].
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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,
arXiv:math/0111009 [math.QA].
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Homotopy Gerstenhaber algebras. Conference Moshé Flato
1999 (G. Dito and D. Sternheimer, eds.), vol. 2. Kluwer Academic
Publishers, the Netherlands, 2000,
pp. 307-331, arXiv:math/9908040
[math.QA].
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The Swiss-cheese operad, Homotopy invariant algebraic
structures (Baltimore, MD, 1998), Contemp. Math., vol. 239. AMS,
Providence, RI, 1999,
pp. 365-373, arXiv:math/9807037
[math.QA].
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Cohomology of conformal algebras (with B. Bakalov and
V. G. Kac), Comm. Math. Phys. 200 (1999),
561-598, arXiv:math/9803022
[math.QA].
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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.
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Semi-infinite induction and Wakimoto modules, Amer. J. Math.
121 (1999), no. 5, 1079-1094, q-alg/9704020.
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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.
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Semiquantum geometry (with N. Reshetikhin and
A. Weinstein). Algebraic geometry, 5. J. Math. Sci. 82 (1996),
no. 1, 3255-3267. q-alg/9606007.
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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.
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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.
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Cohomology and deformation of Leibniz pairs (with M. Flato and
M. Gerstenhaber). Letters in Mathematical Physics 34(1),
77-90 (1995), q-alg/9502006.
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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.
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Homotopy G-algebras and moduli space operad (with
M. Gerstenhaber). Internat. Math. Research Notices 141-153 (1995), hep-th/9409063.
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Higher-order operations on the Hochschild complex (with
M. Gerstenhaber). Functional Anal. Appl. 29(1), 1-6
(1995) [Russian
version] [English
version].
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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.
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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.
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Semi-infinite cohomology of Lie algebras. Proc. Sympos. Pure
Math. 56, part 2, 401-415 (1994)
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Semi-infinite homological algebra. Invent. Math. 113,
103-146 (1993)
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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.
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Complex divisors on algebraic curves and some applications to
string theory. Contemp. Math. 131, part 3, 515-522
(1992), alg-geom/9202028.
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A unified approach to string scattering amplitudes.
Comm. Math. Phys. 131, 179-218 (1990). Correction:
140, 415-416 (1991).
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Superconformal geometry and string theory (with A. A. Rosly and
A. S. Schwarz). Comm. Math. Phys. 120(3), 437-450 (1989).
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Geometry of superconformal manifolds (with A. A. Rosly and
A. S. Schwarz). Comm. Math. Phys. 119, 129-152 (1988).
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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).
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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).
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A formula for Mumford measure in superstring theory. Functional
Anal. Appl. 22(2), 139-140
(1988) [Russian
version] [English
version].
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Relative
disposition of the Schubert supervarieties and resolution of their
singularities. Functional Anal. Appl.
21, 62-64 (1987).
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Schubert supercells (with Yu. I. Manin). Functional
Anal. Appl. 18, 329-330 (1985).
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Mappings of supermanifolds. Theoret. and Math.
Phys. 60, 660-664 (1985).
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Alexander A. Voronov
Last modified: (2024-08-27 18:31:04 CDT)