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MERKOULOV Serguei

University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

Main Referenced Co-authors
Willwacher, Thomas (6)
Khoroshkin, Anton (2)
Vallette, Bruno (2)
Alm, Johan (1)
ANDERSSON, Assar  (1)
Main Referenced Keywords
graph complexes (6); quantization (6); props (5); algebra (4); Lie bialgebra (4);
Main Referenced Disciplines
Mathematics (26)

Publications (total 26)

The most downloaded
383 downloads
Markl, M., Merkulov, S., & Shadrin, S. (2009). Wheeled PROPs, graph complexes and the master equation. Journal of Pure and Applied Algebra, 213 (4), 496-535. doi:10.1016/j.jpaa.2008.08.007 https://hdl.handle.net/10993/6474

The most cited

59 citations (WOS)

Merkulov, S., & Vallette, B. (2009). Deformation theory of representations of prop(erad)s. I. Journal für die Reine und Angewandte Mathematik, 634, 51-106. doi:10.1515/CRELLE.2009.069 https://hdl.handle.net/10993/6475

Merkoulov (merkulov), S., & Khoroshkin, A. (October 2023). On deformation quantization of quadratic Poisson structures. Communications in Mathematical Physics, DOI 10.1007/s00220-023-04829-z, 1-32.
Peer reviewed

Merkoulov (merkulov), S. (April 2023). Twisting of properads. Journal of Pure and Applied Algebra, 227, 107-388.
Peer Reviewed verified by ORBi

Merkulov, S. (2023). Prop of ribbon hypergraphs and strongly homotopy involutive Lie bialgebras. International Mathematics Research Notices, 7, 5685-5727. doi:10.1093/imrn/rnac023
Peer reviewed

Merkoulov (merkulov), S. (2023). From gravity to string topology. Letters in Mathematical Physics, 113, 1-23. doi:10.1007/s11005-023-01686-8
Peer Reviewed verified by ORBi

Merkoulov (merkulov), S., & Zivkovic, M. (February 2022). Quantizations of Lie bialgebras, duality involution and oriented graph complexes. Letters in Mathematical Physics, 112 (13), 1-22.
Peer reviewed

Andersson, A., & Merkulov, S. (December 2021). From deformation theory of wheeled props to classification of Kontsevich formality maps. International Mathematical Research Notices, rnab012. doi:10.1093/imrn/rnab012
Peer reviewed

Merkoulov (merkulov), S. (2021). Gravity prop and moduli spaces Mg,n. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/48461.

Merkulov, S. (2021). Grothendieck-Teichmueller group, operads and graph complexes: a survey. In Integrability, Quantization, and Geometry: II. Quantum Theories and Algebraic Geometry (pp. 383-445). United States: AMS.
Peer reviewed

Merkulov, S., & Willwacher, T. (October 2020). Classification of universal formality maps for quantizations of Lie bialgebras. Compositio Mathematica, 156 (10), 2111-2148. doi:10.1112/S0010437X20007381
Peer Reviewed verified by ORBi

Merkulov, S. (March 2020). Multi-oriented props and homotopy algebras with branes. Letters in Mathematical Physics, 110, 1425-1475. doi:10.1007/s11005-019-01248-x
Peer Reviewed verified by ORBi

Merkulov, S., & Willwacher, T. (2018). Deformation theory of Lie bialgebra properads. In Geometry and Physics: A Festschrift in honour of Nigel Hitchin (pp. 219-248). United Kingdom: Oxford University Press. doi:10.1093/oso/9780198802013.003.0010
Peer reviewed

Merkulov, S., & Willwacher, T. (2018). An explicit two step quantization of Poisson structures and Lie bialgebras. Communications in Mathematical Physics, 364 (2), 505–578. doi:10.1007/s00220-018-3267-9
Peer Reviewed verified by ORBi

Merkulov, S. (2016). Formality Theorem for Quantizations of Lie Bialgebras. Letters in Mathematical Physics, 106 (2), 169-195. doi:10.1007/s11005-015-0809-3
Peer Reviewed verified by ORBi

Khoroshkin, A., Merkulov, S., & Thomas, W. (2016). On quantizable odd Lie bialgebras. Letters in Mathematical Physics, 106 (9), 1199-1215. doi:10.1007/s11005-016-0873-3
Peer Reviewed verified by ORBi

Camos, R., Merkulov, S., & Willwacher, T. (2016). The Frobenius operad is Koszul. Duke Mathematical Journal, 165 (15), 2921-2989.
Peer Reviewed verified by ORBi

Merkulov, S., & Willwacher, T. (2015). Props of ribbon graphs, involutive Lie bialgebras and moduli spaces of curves M_g,n. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/22533.

Alm, J., & Merkulov, S. (2015). Grothendieck-Teichmueller group and Poisson cohomologies. Journal of Noncommutative Geometry, 9 (1), 185-214. doi:10.4171/JNCG/191
Peer Reviewed verified by ORBi

Merkulov, S., & Willwacher, T. (2014). Grothendieck-Teichmueller and Batalin-Vilkovisky. Letters in Mathematical Physics, 104 (5), 625-634. doi:10.1007/s11005-014-0692-3
Peer Reviewed verified by ORBi

Merkulov, S. (2011). Operads, configuration spaces and quantization. Bulletin of the Brazilian Mathematical Society, 42 (4), 683–781. doi:10.1007/s00574-011-0034-3
Peer Reviewed verified by ORBi

Merkulov, S. (2011). Permutahedra, HKR isomorphism and polydifferential Gerstenhaber-Schack complex. In Higher structures in geometry and physics (pp. 293-314). Boston, United States: Birkhäuser.
Peer reviewed

Merkulov, S. (2010). Wheeled Pro(p)file of Batalin-Vilkovisky formalism. Communications in Mathematical Physics, 295 (3), 585–638. doi:10.1007/s00220-010-0987-x
Peer reviewed

Merkulov, S. (2010). Wheeled props in algebra, geometry and quantization. In Proceedings (pp. 83-114). Zurich, Unknown/unspecified: Eur. Math. Soc.
Peer reviewed

Merkulov, S., & Vallette, B. (2009). Deformation theory of representations of prop(erad)s. I. Journal für die Reine und Angewandte Mathematik, 634, 51-106. doi:10.1515/CRELLE.2009.069
Peer Reviewed verified by ORBi

Markl, M., Merkulov, S., & Shadrin, S. (2009). Wheeled PROPs, graph complexes and the master equation. Journal of Pure and Applied Algebra, 213 (4), 496-535. doi:10.1016/j.jpaa.2008.08.007
Peer reviewed

Merkulov, S., & Vallette, B. (2009). Deformation theory of representations of prop(erad)s. II. Journal für die Reine und Angewandte Mathematik, 636, 123-174. doi:10.1515/CRELLE.2009.084
Peer Reviewed verified by ORBi

Merkulov, S. (2009). Graph complexes with loops and wheels. In Algebra, arithmetic, and geometry: in honor of Yu. I. Manin (pp. 311-354). Boston, United States: Birkhäuser Boston.
Peer reviewed

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