Bojko Bakalov

Bakalov, B., & Villarreal, J. J. (2023, September 5). Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras. COMMUNICATIONS IN MATHEMATICAL PHYSICS. https://doi.org/10.1007/s00220-023-04839

Bakalov, B., & Villarreal, J. J. (2023). Logarithmic Vertex Algebras and Non-local Poisson Vertex Algebras. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 404(1), 185–226. https://doi.org/10.1007/s00220-023-04839-x

Bakalov, B., Elsinger, J., Kac, V. G., & Todorov, I. (2023, June 14). Orbifolds of lattice vertex algebras. JAPANESE JOURNAL OF MATHEMATICS. https://doi.org/10.1007/s11537-023-2249-7

Bakalov, B. N., & Nikolov, N. M. (2023, November 2). Reconstruction of Vertex Algebras in Even Higher Dimensions. ANNALES HENRI POINCARE. https://doi.org/10.1007/s00023-023-01384-0

Bakalov, B. N., & Villarreal, J. J. (2022, September 9). Logarithmic Vertex Algebras. TRANSFORMATION GROUPS. https://doi.org/10.1007/s00031-022-09759-z

Bakalov, B., De Sole, A., Heluani, R., Kac, V. G., & Vignoli, V. (2021, August 9). Classical and variational Poisson cohomology. JAPANESE JOURNAL OF MATHEMATICS. https://doi.org/10.1007/s11537-021-2109-2

Bakalov, B., D'Andrea, A., & Kac, V. G. (2021). Irreducible modules over finite simple Lie pseudoalgebras III. Primitive pseudoalgebras of type H. ADVANCES IN MATHEMATICS, 392. https://doi.org/10.1016/j.aim.2021.107963

Bakalov, B., & Kirk, S. (2021). Representations of twisted toroidal Lie algebras from twisted modules over vertex algebras. JOURNAL OF MATHEMATICAL PHYSICS, 62(3). https://doi.org/10.1063/5.0028122

Bakalov, B., De Sole, A., Heluani, R., & Kac, V. G. (2020). Chiral Versus Classical Operad. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2020(19), 6463–6488. https://doi.org/10.1093/imrn/rnz373

Bakalov, B., De Sole, A., & Kac, V. G. (2020). Computation of cohomology of Lie conformal and Poisson vertex algebras. SELECTA MATHEMATICA-NEW SERIES, 26(4). https://doi.org/10.1007/s00029-020-00578-2

Bakalov, B., & Yadavalli, A. (2020). Darboux transformations and Fay identities for the extended bigraded Toda hierarchy*. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 53(6). https://doi.org/10.1088/1751-8121/ab604d

Bakalov, B., De Sole, A., Heluani, R., & Kac, V. G. (2019). An operadic approach to vertex algebra and Poisson vertex algebra cohomology. JAPANESE JOURNAL OF MATHEMATICS, 14(2), 249–342. https://doi.org/10.1007/s11537-019-1825-3

Bakalov, B., & Sullivan, M. K. (2019). TWISTED LOGARITHMIC MODULES OF LATTICE VERTEX ALGEBRAS. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 371(11), 7995–8027. https://doi.org/10.1090/tran/7703

Bakalov, B., & Sullivan, M. K. (2018). Inhomogeneous supersymmetric bilinear
                    forms. https://doi.org/10.1090/conm/713/14311

Bakalov, B., & Wheeless, W. (2016). Additional symmetries of the extended bigraded Toda hierarchy. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 49(5). https://doi.org/10.1088/1751-8113/49/5/055201

Bakalov, B. (2016). Twisted Logarithmic Modules of Vertex Algebras. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 345(1), 355–383. https://doi.org/10.1007/s00220-015-2503-9

Bakalov, B., & Sullivan, M. K. (2016). Twisted logarithmic modules of free field algebras. JOURNAL OF MATHEMATICAL PHYSICS, 57(6). https://doi.org/10.1063/1.4953249

Bakalov, B., & Fleisher, D. (2015). Bosonizations of (sl)over-cap(2) and Integrable Hierarchies. SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 11. https://doi.org/10.3842/sigma.2015.005

Bakalov, B., & Elsinger, J. (2015). Orbifolds of lattice vertex algebras under an isometry of order two. JOURNAL OF ALGEBRA, 441, 57–83. https://doi.org/10.1016/j.jalgebra.2015.06.028

Bakalov, B., D’Andrea, A., & Kac, V. G. (2013). Irreducible modules over finite simple Lie pseudoalgebras II. Primitive pseudoalgebras of type <mml:math altimg="si1.gif" display="inline" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:mi>K. Advances in Mathematics, 232(1), 188–237. https://doi.org/10.1016/j.aim.2012.09.012

Bakalov, B., & Milanov, T. (2013). W-constraints for the total descendant potential of a simple singularity. COMPOSITIO MATHEMATICA, 149(5), 840–888. https://doi.org/10.1112/s0010437x12000668

Bakalov, B., & Sole, A. D. (2009). Non-linear Lie conformal algebras with three generators. SELECTA MATHEMATICA-NEW SERIES, 14(2), 163–198. https://doi.org/10.1007/s00029-008-0058-8

Bakalov, B. (2009). Vertex (Lie) algebras in higher dimensions. In J. L. Birman, S. Catto, & B. Nicolescu (Eds.), Proceedings of the XXVI International Colloquium on Group Theoretical Methods in Physics (pp. 15–20). Exeter, UK: Canon Publishing Ltd.

Bakalov, B., & Nikolov, N. M. (2008). Constructing models of vertex algebras in higher dimensions. Bulgarian Journal of Physics, 35(s1), 36–42.

Bakalov, B., Nikolov, N. M., Rehren, K.-H., & Todorov, I. (2008, May 16). Infinite-dimensional Lie algebras in 4D conformal quantum field theory. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, Vol. 41. https://doi.org/10.1088/1751-8113/41/19/194002

Bakalov, B., Nikolov, N. M., Rehren, K.-H., & Todorov, I. (2007). Unitary positive-energy representations of scalar bilocal quantum fields. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 271(1), 223–246. https://doi.org/10.1007/s00220-006-0182-2

Bakalov, B., & Kac, V. G. (2006). Generalized vertex algebras. In H.-D. Doebner & V. K. Dobrev (Eds.), Lie theory and its applications in physics VI (pp. 3–25). Sofia: Heron Press.

Bakalov, B., D'Andrea, A., & Kac, V. G. (2006). Irreducible modules over finite simple Lie pseudoalgebras I. Primitive pseudoalgebras of type W and S. ADVANCES IN MATHEMATICS, 204(1), 278–346. https://doi.org/10.1016/j.aim.2005.07.003

Bakalov, B., & Nikolov, N. M. (2006). Jacobi identity for vertex algebras in higher dimensions. JOURNAL OF MATHEMATICAL PHYSICS, 47(5). https://doi.org/10.1063/1.2197687

Bakalov, B., & Kac, V. G. (2004). Twisted modules over lattice vertex algebras. In H.-D. Doebner & V. K. Dobrev (Eds.), Lie Theory and Its Applications in Physics V (pp. 3–26). https://doi.org/10.1142/9789812702562_0001

Bakalov, B., & Kac, V. (2003). International Mathematics Research Notices, 2003(3), 123. https://doi.org/10.1155/s1073792803204232

Bakalov, B., & Kirillov, A., Jr. (2001). Lectures on Tensor Categories and Modular Functors. https://doi.org/10.1090/ulect/021

Bakalov, B., D'Andrea, A., & Kac, V. G. (2001). Theory of Finite Pseudoalgebras. Advances in Mathematics, 162(1), 1–140. https://doi.org/10.1006/aima.2001.1993

Bakalov, B., & Kirillov, A., Jr. (2000). On the Lego-Teichmüller game. Transformation Groups, 5(3), 207–244. https://doi.org/10.1007/bf01679714

Bakalov, B., Kac, V. G., & Voronov, A. A. (1999). Cohomology of Conformal Algebras. Communications in Mathematical Physics, 200(3), 561–598. https://doi.org/10.1007/s002200050541

Bakalov, B., Horozov, E., & Yakimov, M. (1998). Automorphisms of the Weyl algebra and
                    bispectral operators. In The Bispectral Problem (pp. 3–10). https://doi.org/10.1090/crmp/014/01

Bakalov, B., Horozov, E., & Yakimov, M. (1998). Highest weight modules over the W_(1+∞) algebra and the bispectral problem. Duke Mathematical Journal, 93(1), 41–72. https://doi.org/10.1215/s0012-7094-98-09302-4

Bakalov, B., Horozov, E., & Yakimov, M. (1997). Bispectral Algebras of Commuting Ordinary Differential Operators. Communications in Mathematical Physics, 190(2), 331–373. https://doi.org/10.1007/s002200050244

Bakalov, B., Horozov, E., & Yakimov, M. (1997). Highest weight modules of W_(1+∞), Darboux transformations and the bispectral problem. Serdica Mathematical Journal, 23(2), 95–112.

Bakalov, B. N., Georgiev, L. S., & Todorov, I. T. (1996). A QFT approach to W_(1+∞). In A. Ganchev (Ed.), New trends in quantum field theory (pp. 147–158). Sofia, Bulgaria: Heron Press.

Bakalov, B., Horozov, E., & Yakimov, M. (1996). Bäcklund-Darboux transformations in Sato's Grassmannian. Serdica Mathematical Journal, 22(4), 571–586.

Bakalov, B., Horozov, E., & Yakimov, M. (1996). General methods for constructing bispectral operators. Physics Letters A, 222(1-2), 59–66. https://doi.org/10.1016/0375-9601(96)00624-x

Bakalov, B., Horozov, E., & Yakimov, M. (1996). Tau-functions as highest weight vectors for W_(1+∞) algebra. Journal of Physics A: Mathematical and General, 29(17), 5565–5573. https://doi.org/10.1088/0305-4470/29/17/027