Dunin-Barkowski, Petr; Kazarian, Maxim; Popolitov, Aleksandr; Shadrin, Sergey; Sleptsov, Alexey Topological recursion for the extended Ooguri-Vafa partition function of colored HOMFLY-PT polynomials of torus knots. (English) Zbl 1528.14040 Adv. Theor. Math. Phys. 26, No. 4, 793-833 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 14H81 81T45 81T30 57K14 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., Adv. Theor. Math. Phys. 26, No. 4, 793--833 (2022; Zbl 1528.14040) Full Text: DOI arXiv
Bychkov, Boris; Dunin-Barkowski, Petr; Kazarian, Maxim; Shadrin, Sergey Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type. arXiv:2012.14723 Preprint, arXiv:2012.14723 [math-ph] (2020). MSC: 14H81 05A15 37K10 14H30 14N10 37K30 81T45 BibTeX Cite \textit{B. Bychkov} et al., ``Topological recursion for Kadomtsev-Petviashvili tau functions of hypergeometric type'', Preprint, arXiv:2012.14723 [math-ph] (2020) Full Text: arXiv OA License
Dunin-Barkowski, Petr; Popolitov, Aleksandr; Shadrin, Sergey; Sleptsov, Alexey Combinatorial structure of colored HOMFLY-PT polynomials for torus knots. (English) Zbl 1429.81080 Commun. Number Theory Phys. 13, No. 4, 763-826 (2019). MSC: 81T45 14H81 14J33 33C45 57K45 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., Commun. Number Theory Phys. 13, No. 4, 763--826 (2019; Zbl 1429.81080) Full Text: DOI arXiv
Dunin-Barkowski, P.; Norbury, P.; Orantin, N.; Popolitov, A.; Shadrin, S. Dubrovin’s superpotential as a global spectral curve. (English) Zbl 1414.53079 J. Inst. Math. Jussieu 18, No. 3, 449-497 (2019). MSC: 53D45 32G15 81T45 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., J. Inst. Math. Jussieu 18, No. 3, 449--497 (2019; Zbl 1414.53079) Full Text: DOI arXiv
Dunin-Barkowski, Petr; Norbury, Paul; Orantin, Nicolas; Popolitov, Alexandr; Shadrin, Sergey Primary invariants of Hurwitz Frobenius manifolds. (English) Zbl 1448.53085 Liu, Chiu-Chu Melissa (ed.) et al., Topological recursion and its influence in analysis, geometry, and topology. 2016 AMS von Neumann symposium on topological recursion and its influence in analysis, geometry, and topology, Charlotte, NC, USA, July 4–8, 2016. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 100, 297-331 (2018). MSC: 53D45 32G15 81T45 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., Proc. Symp. Pure Math. 100, 297--331 (2018; Zbl 1448.53085) Full Text: DOI arXiv
Dunin-Barkowski, Petr Topological recursion and Givental’s formalism: spectral curves for Gromov-Witten theories. (English) Zbl 1452.81159 Liu, Chiu-Chu Melissa (ed.) et al., Topological recursion and its influence in analysis, geometry, and topology. 2016 AMS von Neumann symposium on topological recursion and its influence in analysis, geometry, and topology, Charlotte, NC, USA, July 4–8, 2016. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 100, 231-295 (2018). MSC: 81T45 14N35 53D45 14H81 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski}, Proc. Symp. Pure Math. 100, 231--295 (2018; Zbl 1452.81159) Full Text: DOI
Dunin-Barkowski, P.; Mironov, A.; Morozov, A.; Sleptsov, A.; Smirnov, A. Superpolynomials for torus knots from evolution induced by cut-and-join operators. (English) Zbl 1342.57004 J. High Energy Phys. 2013, No. 3, Paper No. 021, 85 p. (2013). MSC: 57M25 81R50 81T45 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., J. High Energy Phys. 2013, No. 3, Paper No. 021, 85 p. (2013; Zbl 1342.57004) Full Text: DOI arXiv
Dunin-Barkowski, P.; Sleptsov, A.; Smirnov, A. Kontsevich integral for knots and Vassiliev invariants. (English) Zbl 1272.81179 Int. J. Mod. Phys. A 28, No. 17, Article ID 1330025, 38 p. (2013). MSC: 81T45 57M27 58J28 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., Int. J. Mod. Phys. A 28, No. 17, Article ID 1330025, 38 p. (2013; Zbl 1272.81179) Full Text: DOI arXiv
Dunin-Barkowski, Petr; Sleptsov, Alexey; Stern, Abel NSR superstring measures in genus 5. (English) Zbl 1262.81131 Nucl. Phys., B 872, No. 1, 106-126 (2013). MSC: 81T30 81T60 11F41 11F27 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., Nucl. Phys., B 872, No. 1, 106--126 (2013; Zbl 1262.81131) Full Text: DOI arXiv
Dunin-Barkowski, P.; Sleptsov, A.; Smirnov, A. Explicit computation of the Drinfeld associator in the case of the fundamental representation of \(gl(N)\). (English) Zbl 1252.81099 J. Phys. A, Math. Theor. 45, No. 38, Article ID 385204, 15 p. (2012). MSC: 81T13 57M27 58J28 PDFBibTeX XMLCite \textit{P. Dunin-Barkowski} et al., J. Phys. A, Math. Theor. 45, No. 38, Article ID 385204, 15 p. (2012; Zbl 1252.81099) Full Text: DOI arXiv