Anton Khoroshkin

Publications²⁶

• Article Khoroshkin A., Feigin E., Makedonskyi I. Duality theorems for current groups // Israel Journal of Mathematics. 2022. Vol. 248. No. 1. P. 441-479. doi
• Article Kharitonov V., Khoroshkin A. Grobner bases for coloured operads // Annali di Matematica Pura ed Applicata. 2022. No. 201. P. 203-241. doi
• Article Khoroshkin A. PBW Property for Associative Universal Enveloping Algebras Over an Operad // International Mathematics Research Notices. 2022. Vol. 2022. No. 4. P. 3106-3143. doi
• Article Khoroshkin A. Quadratic algebras arising from Hopf operads generated by a single element. // Letters in Mathematical Physics. 2020. Vol. 110. No. 8. P. 2053-2082. doi
• Preprint Feigin E., Khoroshkin A., Makedonskyi I. Peter-Weyl, Howe and Schur-Weyl theorems for current groups / Cornell University. Series math "arxiv.org". 2019. No. 1906.03290.
• Article Khoroshkin A., Willwacherb T., Živković M. Differentials on graph complexes // Advances in Mathematics. 2017. Vol. 307. P. 1184-1214. doi
• Article Willwacher T., Zivkovic M., Khoroshkin A. Differentials on graph complexes II: hairy graphs // Letters in Mathematical Physics. 2017. Vol. 107. No. 10. P. 1781-1797. doi
• Article Khoroshkin A. Characteristic classes of flags of foliations and lie algebra cohomology // Transformation Groups. 2016. Vol. 21. No. 2. P. 479-518. doi
• Article Khoroshkin A., Mekulov S., Willwacher T. On Quantizable Odd Lie Bialgebras // Letters in Mathematical Physics. 2016. Vol. 106. No. 9. P. 1199-1215. doi
• Article Khoroshkin A. Characteristic classes of flags of foliations and Lie algebra cohomology // Transformation Groups. 2015. P. 1-40. doi
• Article Khoroshkin A., Piontkovski D. On generating series of finitely presented operads // Journal of Algebra. 2015. Vol. 426. P. 377-429. doi
• Preprint Khoroshkin A., Willwacher T., Živković M. Differentials on graph complexes / Cornell University. Series math "arxiv.org". 2014. No. 1411.2369.
• Article Benett M., Berenstein A., Chari V., Khoroshkin A., Loktev S. Macdonald Polynomials and BGG reciprocity for current algebras // Selecta Mathematica, New Series. 2014. No. 2. P. 585-607. doi
• Article Piontkovski D., Khoroshkin A. On generating series of finitely presented operads (electronic version) // Journal of Algebra. 2014. P. 1-53.
• Preprint Khoroshkin A., Piontkovski D. On generating series of finitely presented operads, v.3 / Cornell University. Series math "arxiv.org". 2014. No. arXiv:1202.5170.
• Preprint Khoroshkin A. Highest weight categories and Macdonald polynomials / arXiv.org. Series 1312.7053 "1312". 2013. No. 1312.7053.
• Article Khoroshkin, A., Markarian, N., Shadrin, S. Hypercommutative Operad as a Homotopy Quotient of BV // Communications in Mathematical Physics. 2013. Vol. 322. No. 3. P. 697-729. doi
• Preprint Khoroshkin A. Lie algebra cohomology representing characteristic classes of flags of foliations / ИТЭФ. Series "Препринты ИТЭФ". 2013.
• Article Khoroshkin A., Dotsenko V. Quillen Homology for operads via Grobner bases // Documenta Mathematica. 2013. Vol. 18. P. 707-747.
• Article Khoroshkin A., Dotsenko V. Shuffle Algebras, Homology and Consecutive Pattern Avoidance // Algebra & Number Theory. 2013. Vol. 7. No. 3. P. 673-700.
• Preprint Khoroshkin A., Markaryan N. S., Shadrin S. Hypercommutative operad as a homotopy quotient of BV / Cornell University. Series math "arxiv.org". 2012. No. 1206.3749. (in press)
• Article Khoroshkin A., Shapiro B. Using homological duality in consecutive pattern avoidance // Electronic Journal of Combinatorics. 2011. Vol. 18. No. 2:9. P. 1-17.
• Article Khoroshkin A., Dotsenko V. Grobner bases for operads // Duke Mathematical Journal. 2010. Vol. 153. No. 2. P. 363-396.
• Article Gorodentsev A. L., Rudakov A. N., Khoroshkin A. On Syzygies of Highest Weight Orbits // American Mathematical Society Translations: Series 2. 2007. Vol. 221. P. 79-120.
• Article Khoroshkin A., Dotsenko V., Bershtein M. Quadratic algebras related to the bihamiltonian operad // International Mathematics Research Notices. 2007. Vol. 24. P. 1-30.
• Article Хорошкин А. С., Доценко В. В. Формулы характера операды пары согласованных скобок и бигамильтоновой операды // Функциональный анализ и его приложения. 2007. Т. 41. № 1. С. 1-22.