Harry W. Braden

• Home
• Research
  • Interests
  • Meetings
  • Groups
• Publications
• Links
  • Archives
  • Resources
  • Institutes
  • People
  • Journals
  • Miscellaneous
• Other Links

Publications

My publications from 1996 are

• H. W. Braden and Linden Disney-Hogg, Towards a Classification of Charge-3 Monopoles with Symmetry, Lett. Math. Phys. 113, 87, 2023. [Letters in Mathematical Physics] [arXiv:2303.18189]
• H. W. Braden and Linden Disney-Hogg, Bring's curve: Old and New, European Journal of Mathematics, 10, 2024. [Letters in Mathematical Physics] [arXiv:2208.13692]
• H. W. Braden, Sergey A. Cherkis and Jason M. Quinones, Construction of exact solutions to Nahm’s equations for the multimonopole, Journal of Mathematical Physics, Vol. 64, No. 1 (2023), pp. 011701-1-24. [Journal of Mathematical Physics ] [arXiv:2204.07822]
• H. W. Braden and V.Z. Enolski, The Charge 2 Monopole via the ADHMN construction, Advances in Theoretical and Mathematical Physic, Vol. 25, No. 4 (2021), pp. 791-956. [Advances in Theoretical and Mathematical Physics] [arXiv:1903.00694]
• H. W. Braden, Spectral Curves are Transcendental, Lett. Math. Phys. 111, 9 2021. [Letters in Mathematical Physics] [arXiv:1812.11093]
• H. W. Braden, A Canonical Form for a Symplectic Involution, European Journal of Mathematics 4, 827-836 2018. [European Journal of Mathematics] [arXiv:1801.03320]
• H. W. Braden and V.Z. Enolski, The Construction of Monopoles, Commun. Math. Phys. 362, 547-570 2018. [Commun. Math. Phys.] [arXiv:1708.09660]
• H. W. Braden, G. Aminov, A. Mironov, A. Morozov and A. Zotov, Seiberg-Witten curves and double-elliptic integrable systems JHEP 2015, 033, 2015. [JHEP.2015:33] [arXiv:1410.0698]
• H. W. Braden, V. Z. Enolski and Yu. N. Fedorov, Dynamics on strata of trigonal Jacobians and some integrable problems of rigid body motion Nonlinearity 26, 1865-1889 2013. [Nonlinearity] [arXiv:1210.3596]
• H. W. Braden and T.P. Northover, Bring's Curve: its Period Matrix and the Vector of Riemann Constants, SIGMA 8, 065, 2012. [SIGMA] [arXiv:1206.6004]
• H. W. Braden and V.Z. Enolski, On the Existence of Non-Abelian Monopole: The Algebro-Geometric Approach, Proceedings of the XXIX Workshop on Geometric Methods in Physics, Bialowieza, 2010, American Institute of Physics, AIP Conference Proceedings 1307, 53--67, 2010. [arXiv:1009.3837]
• H. W. Braden, Antonella D'Avanzo and V.Z. Enolski, On Charge-3 Cyclic Monopoles, Nonlinearity 24, 643-675 2011. [Nonlinearity] [arXiv:1006.3408]
• H. W. Braden, Cyclic Monopoles, Affine Toda and Spectral Curves, Commun. Math. Phys. 308, 303-323 2011. [Communications in Mathematical Physics] [arXiv:1002.1216 ]
• H. W. Braden and V.Z. Enolski, On the tetrahedrally symmetric monopole, Commun. Math. Phys. 299, 255-282, 2010. [Communications in Mathematical Physics] [arXiv:0908.3449]
• H. W. Braden and T.P. Northover, Klein's Curve, J. Phys. A 43, 434009, 2010. [Journal of Physics A] [arXiv:0905.4202]
• H. W. Braden and V.Z. Enolski, Finite gap integration of the SU(2) Bogomolny equations, Glasgow Mathematical Journal 51, 25-41, 2009. [Glasgow Mathematical Journal] [arXiv:0806.1807]
• H. W. Braden and V.Z. Enolski, SU(2) Monopoles, Curves with Symmetries and Ramanujan's Heritage, Matem. Sborniki 201, 19-74 2010. [Matematicheskii Sbornik] [arXiv:0704.3939]
• H. W. Braden and Yu. N. Fedorov, An Extended Abel-Jacobi Map, Journal of Geometry and Physics 58, 1346-1354, 2008. [Journal of Geometry and Physics] [math-ph/0701045]
• H. W. Braden, A. Marshakov, A. Mironov and A. Morozov, WDVV equations for 6d Seiberg-Witten theory and bi-elliptic curves, Acta Applicandae Mathematicae 99, 223-244, 2007. [hep-th/0606035]
• H. W. Braden and V.Z. Enolski, Remarks on the complex geometry of the 3-monopole, Part I appears as "Some remarks on the Ercolani-Sinha construction of monopoles", Theor. Math. Phys. 165, 1567-1597, 2010. [Theoretical and Mathematical Physics] [math-ph/0601040]
• H. W. Braden and V.Z. Enolski, A Platonic Monopole, a Riemann surface and an identity of Ramanujan, Ukr. Fiz. Zh. 50, 855-865, 2005. [Ukrainian Journal of Physics]
• H. W. Braden, Victor Z. Enolskii and Andrew N.W. Hone, Bilinear recurrences and addition formulae for hyperelliptic sigma functions, J. Nonlinear Math. Phys.12, suppl. 2, 46-62, 2005. [Journal of Nonlinear Mathematical Physics] [math.NT/0501162]
• H. W. Braden and J.G.B. Byatt-Smith, An Appendix to A class of equations with peakon and pulson solutions by Andrew N. W. Hone and Darryl D. Holm J. Nonlinear Math. Phys.12 Supplement 1, 380-394, 2005. [Journal of Nonlinear Mathematical Physics] [nlin.SI/0412029]
• H. W. Braden and K.E. Feldman, Functional Equations and the Generalised Elliptic Genus, J. Nonlinear Math. Phys.12, Supplement 1, 74-85, 2005. [Journal of Nonlinear Mathematical Physics] [math-ph/0501011]
• H. W. Braden and Timothy J. Hollowood, The Curve of Compactified 6D Gauge Theories and Integrable Systems, JHEP 12, 023, 2003. [JHEP.12(2003)023] [hep-th/0311024]
• H. W. Braden, V.A. Dolgushev, M.A. Olshanetsky and A.V. Zotov, Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions, J. Phys. A 36, 6979-7000, 2003. [hep-th/0301121]
• H. W. Braden and A. Marshakov, WDVV Equations as Functional Relations, Phys.Lett. B541, 376-383,2002. [hep-th/0205308] [Physics Letters B.]
• J.G.B. Byatt-Smith and H. W. Braden, On a Functional Equation of Ruijsenaars, Teoreticheskaya i Mathematicheskaya Fizika, 133, 353-366, 2002; (Translated) Theoretical and Mathematical Physics, 133, 1619-1630, 2002. [nlin.SI/0201014]
• H. W. Braden, A. Gorsky, A. Odesskii and V. Rubtsov, Double Elliptic Dynamical Systems From Generalized Mukai - Sklyanin Algebras, Nucl. Phys. B633, 414-442, 2002. [hep-th/0111066] [Nuclear Physics B.]
• H. W. Braden and J.G.B. Byatt-Smith, Mechanical Systems with Poincare Invariance, Phys.Lett. A295, 208-216, 2002. [nlin.SI/0110014] [Physics Letters A.]
• J.G.B. Byatt-Smith and H. W. Braden, Functional Equations and Poincare Invariant Mechanical Systems, Siam. J. Math. Anal. 34, 736-758, 2003. [math-ph/0110012]
• H. W. Braden, A. Mironov and A. Morozov, QCD, Wick's Theorem for KdV $\tau$-functions and the String Equation, Phys.Lett. B514, 293-298, 2001. [hep-th/0105169]
• H. W. Braden and N. A. Nekrasov, Instantons, Hilbert Schemes and Integrability, in Integrable Structures of Exactly Solvable Two-Dimensional Models of Quantum Field Theory, S. Pakuliak and G. von Gehlen Eds., Kluwer 2001. [hep-th/0103204]
• H. W. Braden and A. Marshakov, Singular Phases of Seiberg-Witten Integrable Systems: Weak and Strong Coupling, Nucl. Phys. B595, 417-466, 2001. [hep-th/0009060]
• H. W. Braden, Rigidity, Functional Equations and the Calogero-Moser Model, J. Phys. A34, 2197-2204, 2001. [nlin.SI/0005046]
• H. W. Braden and Nikita A. Nekrasov, Space-time Foam from Noncommutative Instantons, Commun. Math. Phys. 249, 431-448, 2004. [hep-th/9912019]
• H. W. Braden, A. Marshakov, A. Mironov and A. Morozov, On Double-Elliptic Integrable Systems. 1. A Duality Argument for the case of SU(2), Nucl. Phys. B573, 553-572, 2000. [hep-th/9906240]
• H. W. Braden, A. Marshakov, A. Mironov and A. Morozov, The Ruijsenaars-Schneider Model in the Context of Seiberg-Witten Theory, Nucl. Phys. B558, 371-390, 1999. [hep-th/9902205]
• H. W. Braden, A. Marshakov, A. Mironov and A. Morozov, Seiberg-Witten Theory for a Nontrivial Compactification from Five-Dimensions to Four-Dimensions, Phys. Lett. B448, 195-202, 1999. [hep-th/9812078]
• H. W. Braden and V. Varela, The Bogomolny Equations and Solutions for Einstein-Yang-Mills-Dilaton- $\sigma$ Models, Phys. Rev. D58, 124020, 1998. [hep-th/9804204]
• H. W. Braden and J. G. B. Byatt-Smith, On a Functional Differential Equation of Determinantal Type, Bull. London Math. Soc. 31, 463-470, 1999. [math/9804082]
• H. W. Braden, A Conjectured R-Matrix, J. Phys. A31, 1733-1741, 1998. [solv-int/9710011]
• H. W. Braden, R-matrices and Generalized Inverses, J. Phys. A30, L485-L493, 1997. [solv-int/9706001]
• H. W. Braden, The Equation $A\sp{T}X-X\sp{T}A=B$, Siam J. Matrix Anal. Appl. 20, 395-402, 1998. [Siam J. Matrix Anal. Appl.]
• H. W. Braden, R-Matrices, Generalized Inverses and Calogero-Moser-Sutherland Models, in ``Calogero-Moser-Sutherland Models ", CRM Series in Mathematical Physics, Springer-Verlag 2000. [97-017]
• H. W. Braden and Ryu Sasaki, The Ruijsenaars-Schneider Model, Prog. Theor. Phys. 97, 1003-1018, 1997. [hep-th/9702182]
• H. W. Braden and P.M. Sutcliffe, A Monopole Metric, Phys. Lett. B391, 366-373, 1997. [hep-th/9610141]
• H. W. Braden and Andrew N.W. Hone, Affine Toda Solitons and Systems of Calogero-Moser Type, Phys. Lett. B380, 296-302, 1996. [hep-th/9603178]
• H. W. Braden and V. M. Buchstaber, The General Analytic Solution of a Functional Equation of Addition type, Siam. J. Math. Anal. 28, 903-923, 1997. [funct-an/9508002]
• H. W. Braden and V. M. Buchstaber, Integrable Systems with Pairwise Interactions and Functional Equations, Reviews in Mathematics and Mathematical Physics 10, 121-166, 1997. [hep-th/9411240]

Earlier publications and other data may be gleaned from:

• PUBLICATIONS:
• in e-archives " (since 1991)
• publication list INSPIRE]

• INSPIRE [ search]

Website designed by Peter Braden