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]