Quaternionic Geometry
- The c-map on Groups
by Óscar Maciá and Andrew Swann
Classical Quantum Gravity 37 (1), id. 015015, 17 pp., doi10.1088/1361-6382/ab56ee
, 2019. - Hypertoric Manifolds and HyperKähler Moment Maps
by Andrew Dancer and Andrew Swann
Special Metrics and Group Actions in Geometry, ed. S. Chiossi, A. Fino, E. Musso, F. Podestà, L. Vezzoni, Springer INdAM Series 23, Springer, Chom, pp. 107–127, doi10.1007/978-3-319-67519-0_5
, 2017. - Symplectic and Hyperkähler Implosion
by Andrew Dancer, Brent Doran, Frances Kirwan and Andrew Swann
Arbeitstagung Bonn 2013, In memory of Friedrich Hirzebruch, ed. W. Ballmann, C. Blohmann, G. Faltings, P. Teichner, D. Zagier, Birkhäuser Progress in Mathematics 319, Birkäuser, Basel, pp. 81–103, doi10.1007/978-3-319-43648-7_4
, 2016. - Twists versus Modifications
by Andrew Swann
Adv. Math. 303 611–637, doi10.1016/j.aim.2016.08.028
, 2016. - Twist Geometry of the c-map
by Óscar Maciá and Andrew Swann
Commun. Math. Phys. 336 (3) 1329–1357, 2015. - Elementary Deformations and the HyperKähler-Quaternionic Kähler
Correspondence
by Óscar Maciá and Andrew Swann
Proceedings of ICM Satellite Conference on Real and Complex Submanifolds, 10–12 August, 2014, Daejon, ed. Y. J. Suh, J. Berndt, Y. Ohnita, B. H. Kim, H. Lee, Springer Proceedings in Mathematics & Statistics, vol. 106, pp. 229–347, 2014. - Twistor Spaces for Hyperkähler Implosions
by Andrew Dancer, Frances Kirwan and Andrew Swann
J. Differential Geom. 97, 37–77, 2014. - Quaternion Geometries on the Twistor Space of the Six-sphere
by Francisco Martín Cabrera and Andrew Swann
Ann. Mat. Pura Appl. 193 (6) 1683–1690, 2014. - Implosion for Hyperkähler Manifolds
by Andrew Dancer, Frances Kirwan and Andrew Swann
Compos. Math. 149 1592–1630, 2013. - Implosions and Hypertoric Geometry
by Andrew Dancer, Frances Kirwan and Andrew Swann
Journal of Ramanujan Mathematical Society 28A (Special issue for Professor Seshadri's 80th birthday) 81–122, 2013. - Non-Abelian Cut Constructions and Hyperkähler Modifications
by Andrew Dancer and Andrew Swann
Rend. Sem. Mat. Univ. Pol. Torino, 68 (2) 157–170, 2010. - Curvature of Almost Quaternion-Hermitian Manifolds
by Francisco Martín Cabrera and Andrew Swann
Forum Math. 22 (1) 21–52, 2010. - Quaternionic Geometries from Superconformal Symmetry
by Andrew Swann
`Handbook of pseudo-Riemannian Geometry and Supersymmetry', IRMA Lectures in Mathematics and Theoretical Physics, vol. 16 (ed. Vicente Cortés), European Mathematical Society, 2010, pp. 455–474. - Quaternionic Torsion Geometry, Superconformal Symmetry and T-duality
by Andrew Swann
in `Special Metrics and Supersymmetry', Proceedings of the `Workshop on Geometry and Physics: Special metrics and supersymmetry', Bilbao 2008, L.C. de Andrés, M. Fernández, O.J. Garay, L. Ugarte (Editors), AIP Conference Proceedings, vol.1093, 2009. - The Intrinsic Torsion of Almost Quaternion-Hermitian Manifolds
by Francisco Martín Cabrera and Andrew Swann
Annales de l'Institute Fourier, 58 (5), 1455–1497, 2008. - Hypersymplectic Manifolds
by Andrew Dancer and Andrew Swann
ESI Lectures in Mathematics and Physics `Recent developments in pseudo-Riemannian Geometry' (ed. D. V. Alekseevsky and H. Baum), European Mathematical Society, 2008, 97–111. - Toric Hypersymplectic Quotients
by Andrew Dancer and Andrew Swann
Trans. Amer. Math. Soc. 359 (3), 1265–1284, 2007. - Modifying Hyperkähler Manifolds with Circle Symmetry
by Andrew Dancer and Andrew Swann
Asian J. Math. 10 (4), 815–826, 2006. - Homogeneous Quaternionic Kähler Structures and Quaternionic Hyperbolic Space
by Marco Castrillón López, Pedro Gadea and Andrew Swann
Transformation Groups 11 (4), 575–608, 2006. - Metric Geometries over the Split Quaternions
by Andrew Dancer, Helge Riis Jørgensen and Andrew Swann
Rendiconti del Seminario Matematico dell'Università e del Politecnico di Torino 63 (2), 119–139, 2005. - Almost Hermitian Structures and Quaternionic Geometries
by Francisco Martín Cabrera and Andrew Swann
Differential Geom. Appl. 21 (2), 199–214, 2004. - Potentials for Hyper-Kähler Metrics with Torsion
by Bertrand Banos and Andrew Swann
Classical Quantum Gravity 21 (13), 3127–3135, 2004. - Homogeneous Quaternionic Kähler Structures of Linear Type
by Marco Castrillón López, Pedro Gadea and Andrew Swann
C. R. Acad. Sci. Paris Sér. I Math. 338, 65–70, 2004. - Superconformal Symmetry and HyperKähler Manifolds with Torsion
by Yat Sun Poon and Andrew Swann
Commun. Math. Phys. 241, 177–189, 2003. - Potential One-forms for Hyperkähler Structures with Torsion
by Liviu Ornea, Yat Sun Poon and Andrew Swann
Classical Quantum Gravity 20, 1845–1856, 2003. - Potential Functions of HKT Spaces
by Yat Sun Poon and Andrew Swann
Classical Quantum Gravity 18, 4711–4714, 2001. - HyperKähler Potentials via Finite-Dimensional Quotients
by Piotr Kobak and Andrew Swann
Geom. Dedicata 88, 1–17, 2001. - The HyperKähler Geometry Associated to Wolf Spaces
by Piotr Kobak and Andrew Swann
Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8) 4, 587–595, 2001. - HyperKähler Potentials in Cohomogeneity Two
by Piotr Kobak and Andrew Swann
J. reine angew. Math. 531, 121–139, 2001
Supporting software. - Quaternionic Kähler Manifolds of Cohomogeneity One
by Andrew Dancer and Andrew Swann
International J. Math. 10, 541–570, 1999. - Homogeneous Twistor Spaces and Nilpotent Orbits
by Andrew Swann
Math. Annalen 313, 161–188, 1999. - Hypercomplex Structures Associated to Quaternionic Manifolds
by Henrik Pedersen, Yat Sun Poon and Andrew Swann
Differential Geom. Appl. 9, 273–292, 1998. - Exceptional HyperKähler Reductions
by Piotr Kobak and Andrew Swann
Twistor Newsletter 44, 23–26, 1998. - The Geometry of Singular Quaternionic Kähler Quotients
by Andrew Dancer and Andrew Swann
International J. Math. 8, 595–610, 1997. - Hyperkähler Metrics of Cohomogeneity One
by Andrew Dancer and Andrew Swann
J. Geom. and Phys. 21, 218–230, 1997. - Singular Moment Maps and Quaternionic Geometry
by Andrew Swann
In `Symplectic Singularities and Geometry of Gauge Fields' (Warsaw, 1995), Banach Center Publications, vol. 39, 1997, 143–153. - Some Remarks on Quaternion-Hermitian Manifolds
by Andrew Swann
Archivum Mathematicum 33, 349–354, 1997. - The Structure of Quaternionic Kähler Quotients
by Andrew Dancer and Andrew Swann
In the Proceedings on Geometry and Physics, Aarhus 1995, (ed. J. E. Andersen, et al.), Lecture Notes in Pure and Applied Mathematics, vol. 184, Marcel Dekker Inc. (1996), pp. 313–320. - Classical Nilpotent Orbits as HyperKähler Quotients
by Piotr Z. Kobak and Andrew Swann
International J. Math. 7, 193–210, 1996. - Quaternionic Kähler Metrics and Nilpotent Orbits
by Andrew Swann
in `Proceedings of the Meeting on Quaternionic Structures in Mathematics and Physics, Trieste, 1994', SISSA, Trieste, ILAS/FM-6 (1996), pp. 291–298. - Hyperkähler Metrics Associated to Compact Lie Groups
by Andrew Dancer and Andrew Swann
Math. Proc. Camb. Phil. Soc. 120, 61–69, 1996. - Generalised Connected Sums of Quaternionic Manifolds
by Yat Sun Poon and Andrew Swann
Annals of Global Analysis and Geometry 13, 79–90, 1995. - Topological Quantum Field Theory in Quaternionic Geometry
by Sergey Merkulov, Henrik Pedersen and Andrew Swann
J. Geom. and Physics 14, 121–145, 1994. - Quaternionic Geometry of a Nilpotent Variety
by Piotr Z. Kobak and Andrew Swann
Math. Ann. 297, 747–764, 1993. - HyperKähler and Quaternionic Kähler Geometry
by Andrew Swann
Math. Ann. 289, 421–450, 1991. - Homogeneity of Twistor Spaces
by Andrew Swann
Twistor Newsletter 32, 8–9, 1991. - Some Quaternionically Equivalent Einstein Metrics
by Andrew Swann
Twistor Newsletter 30, 18–20, 1990. - Quaternionic Kähler Geometry and the Fundamental 4-Form
by Andrew Swann
Proceedings of the Curvature Geometry Workshop, Lancaster, 1989, ed. by C. T. J. Dodson, ULDM Publ., 165–174, 1989. - Aspects Symplectiques de la Géométrie Quaternionique
by Andrew Swann
C. R. Acad. Sci., Paris, Série I, Math. 308, 225–228, 1989.