@article{bakalov_villarreal_2022, title={Logarithmic Vertex Algebras}, ISSN={["1531-586X"]}, DOI={10.1007/s00031-022-09759-z}, journal={TRANSFORMATION GROUPS}, author={Bakalov, Bojko N. and Villarreal, Juan J.}, year={2022}, month={Sep} } @article{bakalov_de sole_heluani_kac_vignoli_2021, title={Classical and variational Poisson cohomology}, ISSN={["1861-3624"]}, DOI={10.1007/s11537-021-2109-2}, journal={JAPANESE JOURNAL OF MATHEMATICS}, author={Bakalov, Bojko and De Sole, Alberto and Heluani, Reimundo and Kac, Victor G. and Vignoli, Veronica}, year={2021}, month={Aug} } @article{bakalov_d'andrea_kac_2021, title={Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H}, volume={392}, ISSN={["1090-2082"]}, DOI={10.1016/j.aim.2021.107963}, journal={ADVANCES IN MATHEMATICS}, author={Bakalov, Bojko and D'Andrea, Alessandro and Kac, Victor G.}, year={2021}, month={Dec} } @article{bakalov_kirk_2021, title={Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras}, volume={62}, ISSN={["1089-7658"]}, DOI={10.1063/5.0028122}, number={3}, journal={JOURNAL OF MATHEMATICAL PHYSICS}, author={Bakalov, Bojko and Kirk, Samantha}, year={2021}, month={Mar} } @article{bakalov_de sole_heluani_kac_2020, title={Chiral Versus Classical Operad}, volume={2020}, ISSN={["1687-0247"]}, DOI={10.1093/imrn/rnz373}, number={19}, journal={INTERNATIONAL MATHEMATICS RESEARCH NOTICES}, author={Bakalov, Bojko and De Sole, Alberto and Heluani, Reimundo and Kac, Victor G.}, year={2020}, month={Oct}, pages={6463–6488} } @article{bakalov_de sole_kac_2020, title={Computation of cohomology of Lie conformal and Poisson vertex algebras}, volume={26}, ISSN={["1420-9020"]}, DOI={10.1007/s00029-020-00578-2}, number={4}, journal={SELECTA MATHEMATICA-NEW SERIES}, author={Bakalov, Bojko and De Sole, Alberto and Kac, Victor G.}, year={2020}, month={Jul} } @article{bakalov_yadavalli_2020, title={Darboux transformations and Fay identities for the extended bigraded Toda hierarchy*}, volume={53}, ISSN={["1751-8121"]}, DOI={10.1088/1751-8121/ab604d}, number={6}, journal={JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, author={Bakalov, Bojko and Yadavalli, Anila}, year={2020}, month={Feb} } @article{bakalov_de sole_heluani_kac_2019, title={An operadic approach to vertex algebra and Poisson vertex algebra cohomology}, volume={14}, ISBN={1861-3624}, DOI={10.1007/s11537-019-1825-3}, number={2}, journal={JAPANESE JOURNAL OF MATHEMATICS}, author={Bakalov, Bojko and De Sole, Alberto and Heluani, Reimundo and Kac, Victor G.}, year={2019}, month={Sep}, pages={249–342} } @article{bakalov_sullivan_2019, title={TWISTED LOGARITHMIC MODULES OF LATTICE VERTEX ALGEBRAS}, volume={371}, ISSN={["1088-6850"]}, DOI={10.1090/tran/7703}, number={11}, journal={TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY}, author={Bakalov, Bojko and Sullivan, McKay}, year={2019}, month={Jun}, pages={7995–8027} } @misc{bakalov_sullivan_2018, title={Inhomogeneous supersymmetric bilinear forms}, ISBN={9781470436964 9781470448820}, ISSN={0271-4132 1098-3627}, url={http://dx.doi.org/10.1090/conm/713/14311}, DOI={10.1090/conm/713/14311}, journal={Representations of Lie Algebras, Quantum Groups and Related Topics}, publisher={American Mathematical Society}, author={Bakalov, Bojko and Sullivan, McKay}, year={2018}, pages={35–45} } @article{bakalov_wheeless_2016, title={Additional symmetries of the extended bigraded Toda hierarchy}, volume={49}, ISSN={["1751-8121"]}, DOI={10.1088/1751-8113/49/5/055201}, number={5}, journal={JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, author={Bakalov, Bojko and Wheeless, William}, year={2016} } @article{bakalov_2016, title={Twisted Logarithmic Modules of Vertex Algebras}, volume={345}, ISSN={["1432-0916"]}, DOI={10.1007/s00220-015-2503-9}, number={1}, journal={COMMUNICATIONS IN MATHEMATICAL PHYSICS}, author={Bakalov, Bojko}, year={2016}, month={Jul}, pages={355–383} } @article{bakalov_sullivan_2016, title={Twisted logarithmic modules of free field algebras}, volume={57}, ISSN={["1089-7658"]}, DOI={10.1063/1.4953249}, number={6}, journal={JOURNAL OF MATHEMATICAL PHYSICS}, author={Bakalov, Bojko and Sullivan, McKay}, year={2016}, month={Jun} } @article{bakalov_fleisher_2015, title={Bosonizations of (sl)over-cap(2) and Integrable Hierarchies}, volume={11}, ISSN={["1815-0659"]}, DOI={10.3842/sigma.2015.005}, journal={SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS}, author={Bakalov, Bojko and Fleisher, Daniel}, year={2015} } @article{bakalov_elsinger_2015, title={Orbifolds of lattice vertex algebras under an isometry of order two}, volume={441}, ISSN={["1090-266X"]}, DOI={10.1016/j.jalgebra.2015.06.028}, journal={JOURNAL OF ALGEBRA}, author={Bakalov, Bojko and Elsinger, Jason}, year={2015}, month={Nov}, pages={57–83} } @article{bakalov_d’andrea_kac_2013, title={Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type K}, volume={232}, ISSN={0001-8708}, url={http://dx.doi.org/10.1016/j.aim.2012.09.012}, DOI={10.1016/j.aim.2012.09.012}, number={1}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Bakalov, Bojko and D’Andrea, Alessandro and Kac, Victor G.}, year={2013}, month={Jan}, pages={188–237} } @article{bakalov_milanov_2013, title={W-constraints for the total descendant potential of a simple singularity}, volume={149}, ISSN={["1570-5846"]}, DOI={10.1112/s0010437x12000668}, number={5}, journal={COMPOSITIO MATHEMATICA}, author={Bakalov, Bojko and Milanov, Todor}, year={2013}, month={May}, pages={840–888} } @article{bakalov_sole_2009, title={Non-linear Lie conformal algebras with three generators}, volume={14}, ISSN={["1420-9020"]}, DOI={10.1007/s00029-008-0058-8}, number={2}, journal={SELECTA MATHEMATICA-NEW SERIES}, author={Bakalov, Bojko and Sole, Alberto De}, year={2009}, month={Jan}, pages={163–198} } @inproceedings{bakalov_2009, place={Exeter, UK}, title={Vertex (Lie) algebras in higher dimensions}, booktitle={Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics}, publisher={Canon Publishing Ltd}, author={Bakalov, B.}, editor={Birman, J.L. and Catto, S. and Nicolescu, B.Editors}, year={2009}, pages={15–20} } @article{bakalov_nikolov_2008, title={Constructing models of vertex algebras in higher dimensions}, volume={35}, number={s1}, journal={Bulgarian Journal of Physics}, author={Bakalov, B. and Nikolov, N.M.}, year={2008}, pages={36–42} } @article{bakalov_nikolov_rehren_todorov_2008, title={Infinite-dimensional Lie algebras in 4D conformal quantum field theory}, volume={41}, ISSN={["1751-8121"]}, DOI={10.1088/1751-8113/41/19/194002}, number={19}, journal={JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL}, author={Bakalov, Bojko and Nikolov, Nikolay M. and Rehren, Karl-Henning and Todorov, Ivan}, year={2008}, month={May} } @article{bakalov_nikolov_rehren_todorov_2007, title={Unitary positive-energy representations of scalar bilocal quantum fields}, volume={271}, ISSN={["1432-0916"]}, DOI={10.1007/s00220-006-0182-2}, number={1}, journal={COMMUNICATIONS IN MATHEMATICAL PHYSICS}, author={Bakalov, Bojko and Nikolov, Nikolay M. and Rehren, Karl-Henning and Todorov, Ivan}, year={2007}, month={Apr}, pages={223–246} } @inbook{bakalov_kac_2006, place={Sofia}, title={Generalized vertex algebras}, booktitle={Lie theory and its applications in physics VI}, publisher={Heron Press}, author={Bakalov, B. and Kac, V.G.}, editor={Doebner, H.-D. and Dobrev, V.K.Editors}, year={2006}, pages={3–25} } @article{bakalov_d'andrea_kac_2006, title={Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S}, volume={204}, ISSN={["1090-2082"]}, DOI={10.1016/j.aim.2005.07.003}, number={1}, journal={ADVANCES IN MATHEMATICS}, author={Bakalov, Bojko and D'Andrea, Alessandro and Kac, Victor G.}, year={2006}, month={Aug}, pages={278–346} } @article{bakalov_nikolov_2006, title={Jacobi identity for vertex algebras in higher dimensions}, volume={47}, ISSN={["1089-7658"]}, DOI={10.1063/1.2197687}, number={5}, journal={JOURNAL OF MATHEMATICAL PHYSICS}, author={Bakalov, Bojko and Nikolov, Nikolay M.}, year={2006}, month={May} } @inproceedings{bakalov_kac_2004, place={River Edge, NJ}, title={Twisted modules over lattice vertex algebras}, ISBN={9789812389367 9789812702562}, url={http://dx.doi.org/10.1142/9789812702562_0001}, DOI={10.1142/9789812702562_0001}, booktitle={Lie Theory and Its Applications in Physics V}, publisher={World Scientific Publishing Company}, author={Bakalov, Bojko and Kac, Victor G.}, editor={Doebner, H.-D. and Dobrev, V.K.Editors}, year={2004}, month={Jul}, pages={3–26} } @article{bakalov_kac_2003, volume={2003}, ISSN={1073-7928}, url={http://dx.doi.org/10.1155/s1073792803204232}, DOI={10.1155/s1073792803204232}, number={3}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Bakalov, Bojko and Kac, Victor}, year={2003}, pages={123} } @book{bakalov_kirillov_2001, series={University Lecture Series}, title={Lectures on Tensor Categories and Modular Functors}, ISBN={9780821826867 9781470421687}, ISSN={1047-3998}, url={http://dx.doi.org/10.1090/ulect/021}, DOI={10.1090/ulect/021}, publisher={American Mathematical Society}, author={Bakalov, Bojko and Kirillov, Alexander, Jr.}, year={2001}, collection={University Lecture Series} } @article{bakalov_d'andrea_kac_2001, title={Theory of Finite Pseudoalgebras}, volume={162}, ISSN={0001-8708}, url={http://dx.doi.org/10.1006/aima.2001.1993}, DOI={10.1006/aima.2001.1993}, number={1}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Bakalov, Bojko and D'Andrea, Alessandro and Kac, Victor G}, year={2001}, month={Sep}, pages={1–140} } @article{bakalov_kirillov_2000, title={On the Lego-Teichmüller game}, volume={5}, ISSN={1083-4362 1531-586X}, url={http://dx.doi.org/10.1007/bf01679714}, DOI={10.1007/bf01679714}, number={3}, journal={Transformation Groups}, publisher={Springer Science and Business Media LLC}, author={Bakalov, B. and Kirillov, A., Jr.}, year={2000}, month={Sep}, pages={207–244} } @article{bakalov_kac_voronov_1999, title={Cohomology of Conformal Algebras}, volume={200}, ISSN={0010-3616 1432-0916}, url={http://dx.doi.org/10.1007/s002200050541}, DOI={10.1007/s002200050541}, number={3}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Bakalov, Bojko and Kac, Victor G. and Voronov, Alexander A.}, year={1999}, month={Feb}, pages={561–598} } @inbook{bakalov_horozov_yakimov_1998, title={Automorphisms of the Weyl algebra and bispectral operators}, ISBN={9780821809495 9781470439286}, ISSN={1065-8580 2472-4890}, url={http://dx.doi.org/10.1090/crmp/014/01}, DOI={10.1090/crmp/014/01}, booktitle={The Bispectral Problem}, publisher={American Mathematical Society}, author={Bakalov, Bojko and Horozov, Emil and Yakimov, Milen}, year={1998}, month={Feb}, pages={3–10} } @article{bakalov_horozov_yakimov_1998, title={Highest weight modules over the W_(1+∞) algebra and the bispectral problem}, volume={93}, ISSN={0012-7094}, url={http://dx.doi.org/10.1215/s0012-7094-98-09302-4}, DOI={10.1215/s0012-7094-98-09302-4}, number={1}, journal={Duke Mathematical Journal}, publisher={Duke University Press}, author={Bakalov, B. and Horozov, E. and Yakimov, M.}, year={1998}, month={May}, pages={41–72} } @article{bakalov_horozov_yakimov_1997, title={Bispectral Algebras of Commuting Ordinary Differential Operators}, volume={190}, ISSN={0010-3616 1432-0916}, url={http://dx.doi.org/10.1007/s002200050244}, DOI={10.1007/s002200050244}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Bakalov, B. and Horozov, E. and Yakimov, M.}, year={1997}, month={Dec}, pages={331–373} } @article{bakalov_horozov_yakimov_1997, title={Highest weight modules of W_(1+∞), Darboux transformations and the bispectral problem}, volume={23}, number={2}, journal={Serdica Mathematical Journal}, author={Bakalov, B. and Horozov, E. and Yakimov, M.}, year={1997}, pages={95–112} } @inbook{bakalov_georgiev_todorov_1996, place={Sofia, Bulgaria}, title={A QFT approach to W_(1+∞)}, booktitle={New trends in quantum field theory}, publisher={Heron Press}, author={Bakalov, B.N. and Georgiev, L.S. and Todorov, I.T.}, editor={Ganchev, A.Editor}, year={1996}, pages={147–158} } @article{bakalov_horozov_yakimov_1996, title={Bäcklund-Darboux transformations in Sato's Grassmannian}, volume={22}, number={4}, journal={Serdica Mathematical Journal}, author={Bakalov, B. and Horozov, E. and Yakimov, M.}, year={1996}, pages={571–586} } @article{bakalov_horozov_yakimov_1996, title={General methods for constructing bispectral operators}, volume={222}, ISSN={0375-9601}, url={http://dx.doi.org/10.1016/0375-9601(96)00624-x}, DOI={10.1016/0375-9601(96)00624-x}, number={1-2}, journal={Physics Letters A}, publisher={Elsevier BV}, author={Bakalov, B. and Horozov, E. and Yakimov, M.}, year={1996}, month={Oct}, pages={59–66} } @article{bakalov_horozov_yakimov_1996, title={Tau-functions as highest weight vectors for W_(1+∞) algebra}, volume={29}, ISSN={0305-4470 1361-6447}, url={http://dx.doi.org/10.1088/0305-4470/29/17/027}, DOI={10.1088/0305-4470/29/17/027}, number={17}, journal={Journal of Physics A: Mathematical and General}, publisher={IOP Publishing}, author={Bakalov, B and Horozov, E and Yakimov, M}, year={1996}, month={Sep}, pages={5565–5573} }