Mironov, Andrei; Morozov, Alexei Algebra of quantum \(\mathcal{C} \)-polynomials. (English) Zbl 1460.81093 J. High Energy Phys. 2021, No. 2, Paper No. 142, 32 p. (2021). MSC: 81T45 81R10 57K14 PDFBibTeX XMLCite \textit{A. Mironov} and \textit{A. Morozov}, J. High Energy Phys. 2021, No. 2, Paper No. 142, 32 p. (2021; Zbl 1460.81093) Full Text: DOI arXiv
Bishler, L.; Dhara, Saswati; Grigoryev, T.; Mironov, A.; Morozov, A.; Morozov, An.; Ramadevi, P.; Singh, Vivek Kumar; Sleptsov, A. Distinguishing mutant knots. (English) Zbl 1458.57002 J. Geom. Phys. 159, Article ID 103928, 31 p. (2021). MSC: 57K10 57K16 57K14 PDFBibTeX XMLCite \textit{L. Bishler} et al., J. Geom. Phys. 159, Article ID 103928, 31 p. (2021; Zbl 1458.57002) Full Text: DOI arXiv
Mironov, Andrei; Morozov, Alexei Hopf superpolynomial from topological vertices. (English) Zbl 1476.57012 Nucl. Phys., B 960, Article ID 115191, 17 p. (2020). MSC: 57K10 57K14 PDFBibTeX XMLCite \textit{A. Mironov} and \textit{A. Morozov}, Nucl. Phys., B 960, Article ID 115191, 17 p. (2020; Zbl 1476.57012) Full Text: DOI arXiv
Bishler, L.; Morozov, A. Perspectives of differential expansion. (English) Zbl 1476.57005 Phys. Lett., B 808, Article ID 135639, 12 p. (2020). MSC: 57K10 57K14 57-02 PDFBibTeX XMLCite \textit{L. Bishler} and \textit{A. Morozov}, Phys. Lett., B 808, Article ID 135639, 12 p. (2020; Zbl 1476.57005) Full Text: DOI arXiv
Morozov, A. Yu. The KNTZ trick from arborescent calculus and the structure of the differential expansion. (English. Russian original) Zbl 1456.57009 Theor. Math. Phys. 204, No. 2, 993-1019 (2020); translation from Teor. Mat. Fiz. 204, No. 2, 181-210 (2020). Reviewer: Dmitry Artamonov (Moskva) MSC: 57K10 57K14 PDFBibTeX XMLCite \textit{A. Yu. Morozov}, Theor. Math. Phys. 204, No. 2, 993--1019 (2020; Zbl 1456.57009); translation from Teor. Mat. Fiz. 204, No. 2, 181--210 (2020) Full Text: DOI arXiv
Mironov, A.; Morozov, A. Kerov functions revisited. (English) Zbl 1436.81104 J. Geom. Phys. 150, Article ID 103608, 14 p. (2020). MSC: 81T30 81T32 81T45 57K10 57K14 33D52 05E05 05C69 22E70 PDFBibTeX XMLCite \textit{A. Mironov} and \textit{A. Morozov}, J. Geom. Phys. 150, Article ID 103608, 14 p. (2020; Zbl 1436.81104) Full Text: DOI arXiv
Awata, Hidetoshi; Kanno, Hiroaki; Mironov, Andrei; Morozov, Alexei Can tangle calculus be applicable to hyperpolynomials? (English) Zbl 1435.57008 Nucl. Phys., B 949, Article ID 114816, 37 p. (2019). MSC: 57K14 05C69 14D15 33D52 PDFBibTeX XMLCite \textit{H. Awata} et al., Nucl. Phys., B 949, Article ID 114816, 37 p. (2019; Zbl 1435.57008) Full Text: DOI arXiv
Dhara, Saswati; Mironov, Andrei; Morozov, Alexei; Morozov, Andrey; Ramadevi, Pichai; Singh, Vivek Kumar; Sleptsov, Alexey Multi-colored links from 3-strand braids carrying arbitrary symmetric representations. (English) Zbl 1426.81044 Ann. Henri Poincaré 20, No. 12, 4033-4054 (2019). MSC: 81R50 17B37 22E70 58J28 57K14 PDFBibTeX XMLCite \textit{S. Dhara} et al., Ann. Henri Poincaré 20, No. 12, 4033--4054 (2019; Zbl 1426.81044) Full Text: DOI arXiv
Mironov, A.; Mironov, S.; Mishnyakov, V.; Morozov, A.; Sleptsov, A. Coloured Alexander polynomials and KP hierarchy. (English) Zbl 1414.37030 Phys. Lett., B 783, 268-273 (2018). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 37K20 37K10 57M25 57M27 57Q45 58J28 81T55 53D45 14N35 PDFBibTeX XMLCite \textit{A. Mironov} et al., Phys. Lett., B 783, 268--273 (2018; Zbl 1414.37030) Full Text: DOI arXiv
Morozov, A. Knot polynomials for twist satellites. (English) Zbl 1404.57017 Phys. Lett., B 782, 104-111 (2018). MSC: 57M25 PDFBibTeX XMLCite \textit{A. Morozov}, Phys. Lett., B 782, 104--111 (2018; Zbl 1404.57017) Full Text: DOI arXiv
Mironov, A.; Morozov, A.; Morozov, An. Tangle blocks in the theory of link invariants. (English) Zbl 1398.81228 J. High Energy Phys. 2018, No. 9, Paper No. 128, 45 p. (2018). MSC: 81T45 58J28 81R50 PDFBibTeX XMLCite \textit{A. Mironov} et al., J. High Energy Phys. 2018, No. 9, Paper No. 128, 45 p. (2018; Zbl 1398.81228) Full Text: DOI arXiv
Morozov, A. Factorization of differential expansion for non-rectangular representations. (English) Zbl 1386.81097 Mod. Phys. Lett. A 33, No. 12, Article ID 1850062, 19 p. (2018). MSC: 81R50 57M25 PDFBibTeX XMLCite \textit{A. Morozov}, Mod. Phys. Lett. A 33, No. 12, Article ID 1850062, 19 p. (2018; Zbl 1386.81097) Full Text: DOI arXiv
Morozov, A. Generalized hypergeometric series for Racah matrices in rectangular representations. (English) Zbl 1381.81058 Mod. Phys. Lett. A 33, No. 4, Article ID 1850020, 13 p. (2018). MSC: 81R50 33C80 PDFBibTeX XMLCite \textit{A. Morozov}, Mod. Phys. Lett. A 33, No. 4, Article ID 1850020, 13 p. (2018; Zbl 1381.81058) Full Text: DOI arXiv
Morozov, A. Yu.; Morozov, A. A.; Popolitov, A. V. Matrix model and dimensions at hypercube vertices. (English. Russian original) Zbl 1390.81294 Theor. Math. Phys. 192, No. 1, 1039-1079 (2017); translation from Teor. Mat. Fiz. 192, No. 1, 115-163 (2017). MSC: 81T10 58J28 57M25 PDFBibTeX XMLCite \textit{A. Yu. Morozov} et al., Theor. Math. Phys. 192, No. 1, 1039--1079 (2017; Zbl 1390.81294); translation from Teor. Mat. Fiz. 192, No. 1, 115--163 (2017) Full Text: DOI arXiv
Mironov, A.; Morozov, A.; Morozov, An.; Ramadevi, P.; Singh, Vivek Kumar; Sleptsov, A. Checks of integrality properties in topological strings. (English) Zbl 1381.83125 J. High Energy Phys. 2017, No. 8, Paper No. 139, 42 p. (2017). MSC: 83E30 58J28 81T45 81R12 62P35 PDFBibTeX XMLCite \textit{A. Mironov} et al., J. High Energy Phys. 2017, No. 8, Paper No. 139, 42 p. (2017; Zbl 1381.83125) Full Text: DOI arXiv
Kononov, Ya. A.; Morozov, A. Yu. Rectangular superpolynomials for the figure-eight knot \(4_1\). (English. Russian original) Zbl 1384.57009 Theor. Math. Phys. 193, No. 2, 1630-1646 (2017); translation from Teor. Mat. Fiz. 193, No. 2, 256-275 (2017). MSC: 57M25 81T13 81T45 PDFBibTeX XMLCite \textit{Ya. A. Kononov} and \textit{A. Yu. Morozov}, Theor. Math. Phys. 193, No. 2, 1630--1646 (2017; Zbl 1384.57009); translation from Teor. Mat. Fiz. 193, No. 2, 256--275 (2017) Full Text: DOI arXiv
Morozov, A. Factorization of differential expansion for antiparallel double-braid knots. (English) Zbl 1388.57013 J. High Energy Phys. 2016, No. 9, Paper No. 135, 31 p. (2016). MSC: 57M27 57R58 17B37 81T13 PDFBibTeX XMLCite \textit{A. Morozov}, J. High Energy Phys. 2016, No. 9, Paper No. 135, 31 p. (2016; Zbl 1388.57013) Full Text: DOI arXiv
Mironov, A.; Morozov, A.; Morozov, An.; Sleptsov, A. HOMFLY polynomials in representation \([3, 1]\) for 3-strand braids. (English) Zbl 1388.57011 J. High Energy Phys. 2016, No. 9, Paper No. 134, 35 p. (2016). MSC: 57M27 57R58 81T13 PDFBibTeX XMLCite \textit{A. Mironov} et al., J. High Energy Phys. 2016, No. 9, Paper No. 134, 35 p. (2016; Zbl 1388.57011) Full Text: DOI arXiv
Morozov, A. Yu. Are there \(p\)-adic knot invariants? (English. Russian original) Zbl 1342.81457 Theor. Math. Phys. 187, No. 1, 447-454 (2016); translation from Teor. Mat. Fiz. 187, No. 1, 3-11 (2016). MSC: 81T30 81T18 57M27 PDFBibTeX XMLCite \textit{A. Yu. Morozov}, Theor. Math. Phys. 187, No. 1, 447--454 (2016; Zbl 1342.81457); translation from Teor. Mat. Fiz. 187, No. 1, 3--11 (2016) Full Text: DOI arXiv
Mironov, A.; Morozov, A.; Morozov, An.; Ramadevi, P.; Singh, Vivek Kumar Colored HOMFLY polynomials of knots presented as double fat diagrams. (English) Zbl 1388.57010 J. High Energy Phys. 2015, No. 7, Paper No. 109, 70 p. (2015). MSC: 57M27 57R56 81T45 PDFBibTeX XMLCite \textit{A. Mironov} et al., J. High Energy Phys. 2015, No. 7, Paper No. 109, 70 p. (2015; Zbl 1388.57010) Full Text: DOI arXiv
Mironov, A.; Morozov, A.; Sleptsov, A. Colored HOMFLY polynomials for the pretzel knots and links. (English) Zbl 1388.57012 J. High Energy Phys. 2015, No. 7, Paper No. 69, 35 p. (2015). MSC: 57M27 57M25 57R56 81R05 81R10 PDFBibTeX XMLCite \textit{A. Mironov} et al., J. High Energy Phys. 2015, No. 7, Paper No. 69, 35 p. (2015; Zbl 1388.57012) Full Text: DOI arXiv
Bishler, Ludmila; Morozov, Alexei; Morozov, Andrey; Morozov, Anton Evolution method and HOMFLY polynomials for virtual knots. (English) Zbl 1329.57018 Int. J. Mod. Phys. A 30, No. 14, Article ID 1550074, 39 p. (2015). Reviewer: Theo Johnson-Freyd (Evanston) MSC: 57M27 81R05 58J28 PDFBibTeX XMLCite \textit{L. Bishler} et al., Int. J. Mod. Phys. A 30, No. 14, Article ID 1550074, 39 p. (2015; Zbl 1329.57018) Full Text: DOI arXiv
Arthamonov, S. B.; Mironov, A. D.; Morozov, A. Yu. Differential hierarchy and additional grading of knot polynomials. (English. Russian original) Zbl 1333.57008 Theor. Math. Phys. 179, No. 2, 509-542 (2014); translation from Teor. Mat. Fiz. 179, No. 2, 147-188 (2014). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 57M25 PDFBibTeX XMLCite \textit{S. B. Arthamonov} et al., Theor. Math. Phys. 179, No. 2, 509--542 (2014; Zbl 1333.57008); translation from Teor. Mat. Fiz. 179, No. 2, 147--188 (2014) Full Text: DOI arXiv
Mironov, A. D.; Morozov, A. Yu.; Sleptsov, A. V. Genus expansion of HOMFLY polynomials. (English. Russian original) Zbl 1336.57022 Theor. Math. Phys. 177, No. 2, 1435-1470 (2013); translation from Teor. Mat. Fiz. 177, No. 2, 179-221 (2013). MSC: 57M27 81T45 81R12 PDFBibTeX XMLCite \textit{A. D. Mironov} et al., Theor. Math. Phys. 177, No. 2, 1435--1470 (2013; Zbl 1336.57022); translation from Teor. Mat. Fiz. 177, No. 2, 179--221 (2013) Full Text: DOI arXiv
Itoyama, H.; Mironov, A.; Morozov, A.; Morozov, And. Eigenvalue hypothesis for Racah matrices and HOMFLY polynomials for 3-strand knots in any symmetric and antisymmetric representations. (English) Zbl 1259.81082 Int. J. Mod. Phys. A 28, No. 3-4, Paper No. 1340009, 81 p. (2013). MSC: 81T50 81T45 58J28 22E70 57M27 PDFBibTeX XMLCite \textit{H. Itoyama} et al., Int. J. Mod. Phys. A 28, No. 3--4, Paper No. 1340009, 81 p. (2013; Zbl 1259.81082) Full Text: DOI arXiv
Itoyama, H.; Mironov, A.; Morozov, A.; Morozov, Andrey HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations. (English) Zbl 1397.57012 J. High Energy Phys. 2012, No. 7, Paper No. 131, 21 p. (2012). MSC: 57M25 PDFBibTeX XMLCite \textit{H. Itoyama} et al., J. High Energy Phys. 2012, No. 7, Paper No. 131, 21 p. (2012; Zbl 1397.57012) Full Text: DOI arXiv
Morozov, A. Yu. Challenges of \(\beta\)-deformation. (English. Russian original) Zbl 1280.81111 Theor. Math. Phys. 173, No. 1, 1417-1437 (2012); translation from Teor. Mat. Fiz. 173, No. 1, 104-126 (2012). MSC: 81T30 81T40 57M25 81T60 81T13 PDFBibTeX XMLCite \textit{A. Yu. Morozov}, Theor. Math. Phys. 173, No. 1, 1417--1437 (2012; Zbl 1280.81111); translation from Teor. Mat. Fiz. 173, No. 1, 104--126 (2012) Full Text: DOI arXiv
Galakhov, D. V.; Mironov, A. D.; Morozov, A. Yu.; Smirnov, A. V. Three-dimensional extensions of the Alday-Gaiotto-Tachikawa relation. (English. Russian original) Zbl 1280.81092 Theor. Math. Phys. 172, No. 1, 939-962 (2012); translation from Teor. Mat. Fiz. 172, No. 1, 72-99 (2012). MSC: 81T13 57M27 58J28 81T60 PDFBibTeX XMLCite \textit{D. V. Galakhov} et al., Theor. Math. Phys. 172, No. 1, 939--962 (2012; Zbl 1280.81092); translation from Teor. Mat. Fiz. 172, No. 1, 72--99 (2012) Full Text: DOI arXiv
Itoyama, H.; Mironov, A.; Morozov, A.; Morozov, And. Character expansion for HOMFLY polynomials. III: All 3-strand braids in the first symmetric representation. (English) Zbl 1260.81134 Int. J. Mod. Phys. A 27, No. 19, Paper No. 1250099, 85 p. (2012). MSC: 81R50 17B37 81R10 57M27 PDFBibTeX XMLCite \textit{H. Itoyama} et al., Int. J. Mod. Phys. A 27, No. 19, Paper No. 1250099, 85 p. (2012; Zbl 1260.81134) Full Text: DOI arXiv
Morozov, Alexei; Smirnov, Andrey Chern-Simons theory in the temporal gauge and knot invariants through the universal quantum R-matrix. (English) Zbl 1204.81097 Nucl. Phys., B 835, No. 3, 284-313 (2010). MSC: 81R50 17B37 57M27 PDFBibTeX XMLCite \textit{A. Morozov} and \textit{A. Smirnov}, Nucl. Phys., B 835, No. 3, 284--313 (2010; Zbl 1204.81097) Full Text: DOI arXiv