Roger Bielawski's publications


Hyperkähler manifolds of curves in twistor spaces ( .pdf )
SIGMA 10 (2014), Special Issue on Progress in Twistor Theory

Nonnegative polynomials from vector bundles on real curves ( .pdf )
Bull. London Math. Soc. 45 (2013), 1019--1025.

(with L. Schwachhöfer) Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles ( .pdf )
Ann. Global Anal. Geom. 44 (2013), 245--256.

Quivers and Poisson structures ( .pdf )
Manuscripta Math. 141 (2013), 29--49.

(with L. Schwachhöfer) Sheaves on P1 x P1, bigraded resolutions, and coadjoint orbits of loop groups ( .pdf )
Proc. Amer. Math. Soc. 141 (2013), no. 12, 4155--4167.

(with L. Schwachhöfer) Pluricomplex geometry and hyperbolic monopoles ( .ps , .pdf )
Commun. Math. Phys. 323 (2013), 1--34.

(with V. Pidstrygach) On the symplectic structure of instanton moduli spaces ( .ps , .pdf )
Adv. Math. 226 (2011), no. 3, 2796--2824.

Line bundles on spectral curves and the generalised Legendre transform construction of hyperkaehler metrics ( .dvi , .pdf )
J. Geom. Phys. 59 (2009), 374--390.

Curvature of hyperkaehler quotients ( .pdf )
Cent. Eur. J. Math. 6 (2008), 191--203.

Monopoles and clusters ( .pdf )
Commun. Math. Phys. 284 (2008), 675--712.

(with V. Pidstrygach) Gelfand-Zeitlin actions and rational maps ( .pdf )
Math. Zeit. 260 (2008), 779--803.

Reducible spectral curves and the hyperkaehler geometry of adjoint orbits (.ps , .pdf )
J. London Math. Soc. 76 (2007), 719--738.

Lie groups, hyperkaehler metrics and Nahm's equations (.ps , .pdf )
in Algebraic groups (edited by Yuri Tschinkel) Proceedings of the Summer School held in Goettingen, June 27 - July 13 2005,
Universitaetsverlag Goettingen, Goettingen 2007, pp. 1--17.

Manifolds with an SU(2)-action on the tangent bundle (.ps , .pdf )
Trans. Amer. Math. Soc. 358 (2006), no. 9, 3997--4019.

Prescribing Ricci curvature on complexified symmetric spaces (.ps , .pdf )
Math. Res. Lett. 11 (2004), 435--441.

Entire invariant solutions to Monge-Ampère equations (.ps , .pdf )
Proc. Amer. Math. Soc. 132 (2004), no. 9, 2679--2682.

Complexification and hypercomplexification of manifolds with a linear connection (.ps , .pdf )
Internat. J. Math. 14 (2003), 813--824.

Kaehler metrics on G^C (.ps , .pdf )
J. reine angew. Math. 559 (2003), 123--136.

(with M. Atiyah) Nahm's equations, configuration spaces and flag manifolds (.ps , .pdf )
Bull. Brazilian Math. Soc. 33 (2002), 157--176.

Ricci-flat Kaehler metrics on canonical bundles (.ps , .pdf )
Math. Proc. Cambridge Phil. Soc. 132 (2002) , 471--479.

Twistor quotients of hyperkaehler manifolds (.ps , .pdf )
in "Quaternionic structures in mathematics and physics (Rome 1999)", 7--21, World Sci. Publishing, River Edge, NJ, 2001.

(with A. Dancer) The geometry and topology of toric hyperkaehler manifolds (.ps , .pdf , figures )
Comm. Anal. Geom. 8 (2000), 727--759.

Complete hyperkaehler manifolds with a local tri-Hamiltonian R^n-action (.ps , .pdf )
Math. Ann. 314 (1999), 505--528.

Asymptotic metrics for SU(N)-monopoles (.ps , .pdf )
Comm. Math. Phys. 199 (1998), 297--325.

Monopoles and the Gibbons-Manton metric (.ps , .pdf )
Comm. Math. Phys. 194 (1998), 297--321.

Betti numbers of 3-Sasakian quotients of spheres by tori (.ps , .pdf )
Bull. London Math. Soc. 29 (1997), 731--736.

Invariant hyperkaehler metrics with a homogeneous complex structure (.ps , .pdf )
Math. Proc. Cambridge Philos. Soc. 122 (1997), 473--482.

Hyperkaehler structures and group actions ( .ps , .pdf )
J. London Math. Soc. 55 (1997), 400--414.

Existence of closed geodesics on the moduli space of k-monopoles (.ps, .pdf )
Nonlinearity 9 (1996), 1463--1467.

On the hyperkaehler metrics associated to singularities of nilpotent varieties ( .ps , .pdf )
Ann. Glob. Anal. Geom. 14 (1996), 177--191.

Monopoles, particles and rational functions
Ann. Glob. Anal. Geom. 14 (1996), 123--145.

Asymptotic behaviour of SU(2) monopole metrics
J. Reine und Angew. Math. 468 (1995), 139--165.

(with L. Górniewicz and S. Plaskacz) Topological approach to differential inclusions on closed subset of R^n
in " Dynamics reported: expositions in dynamical systems", 225--250, Dynam. Report. (N.S.), 1, Springer, Berlin, 1992.

(with L. Górniewicz) A fixed point index approach to some differential equations
in "Topological fixed point theory and applications (Tianjin, 1988)", 9--14, Lecture Notes in Math., 1411, Springer, Berlin, 1989.

A selection theorem for open-graph multifunctions
Fund. Math. 133 (1989), 97--100.

The fixed point index for acyclic maps on ENRs
Bull. Polish Acad. Sci. Math. 35 (1987), 487--499.

Simplicial convexity and its applications
J. Math. Anal. Appl. 127 (1987), 155--171.

(with L. Górniewicz) Some applications of the Leray-Schauder alternative to differential equations
in "Nonlinear functional analysis and its applications (Maratea, 1985)", 187--194, NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., 173, Reidel, Dordrecht-Boston, Mass., 1986.