Quaternionic Geometry

• The c-map on Groups
  by Óscar Maciá and Andrew Swann
  Classical Quantum Gravity 37 (1), id. 015015, 17 pp., doi 10.1088/1361-6382/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, doi 10.1007/978-3-319-67519-0_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, doi 10.1007/978-3-319-43648-7_4, 2016.
• Twists versus Modifications
  by Andrew Swann
  Adv. Math. 303 611–637, doi 10.1016/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.