Monopole moduli spaces for compact 3-manifolds

1998 ◽  
Vol 311 (1) ◽  
pp. 125-146 ◽  
Author(s):  
Marc Pauly
Keyword(s):  
Moduli Spaces ◽  
Monopole Moduli Spaces

scholarly journals HyperKähler Quotient Construction of BPS Monopole Moduli Spaces

1997 ◽  
Vol 186 (3) ◽  
pp. 581-599 ◽  
Author(s):  
G.W. Gibbons ◽  
P. Rychenkova ◽  
R. Goto
Keyword(s):  
Moduli Spaces ◽  
Monopole Moduli Spaces

A new approach to monopole moduli spaces

Nonlinearity ◽  
2007 ◽  
Vol 20 (7) ◽  
pp. 1645-1675 ◽  
Author(s):  
Oliver Nash
Keyword(s):  
Moduli Spaces ◽  
New Approach ◽  
Monopole Moduli Spaces

Supersymmetric Monopole, moduli spaces and scattering

2004 ◽  
pp. 440-442
Author(s):  
Yolanda Lozano ◽  
Steven Duplij ◽  
Malte Henkel ◽  
Malte Henkel ◽  
Euro Spallucci ◽  
...  
Keyword(s):  
Moduli Spaces ◽  
Monopole Moduli Spaces

scholarly journals A note on monopole moduli spaces

2003 ◽  
Vol 44 (8) ◽  
pp. 3517-3531 ◽  
Author(s):  
Michael K. Murray ◽  
Michael A. Singer
Keyword(s):  
Moduli Spaces ◽  
Monopole Moduli Spaces

scholarly journals Transverse hilbert schemes, bi-hamiltonian systems and hyperkähler geometry

2020 ◽  
Author(s):  
Roger Bielawski
Keyword(s):  
Hamiltonian Systems ◽  
Moduli Spaces ◽  
Hilbert Scheme ◽  
Poisson Structures ◽  
Hilbert Schemes ◽  
Hyperkähler Manifolds ◽  
Symplectic Surface ◽  
Monopole Moduli Spaces ◽  
Hyperkähler Geometry

Abstract Dedicated to the memory of Sir Michael Francis Atiyah (1929-2019) We give a characterization of Atiyah’s and Hitchin’s transverse Hilbert schemes of points on a symplectic surface in terms of bi-Poisson structures. Furthermore, we describe the geometry of hyperkähler manifolds arising from the transverse Hilbert scheme construction, with particular attention paid to the monopole moduli spaces.

Geometry and Physics: Volume II

2018 ◽  
Keyword(s):  
Moduli Spaces ◽  
Mirror Symmetry ◽  
Geometric Analysis ◽  
Mathematical Physics ◽  
Poisson Geometry ◽  
Special Holonomy ◽  
Low Dimensional Topology ◽  
Generalized Complex Structures ◽  
Wide Range ◽  
Low Dimensional

These volumes contain the proceedings of the conference held at Aarhus, Oxford and Madrid in September 2016 to mark the seventieth birthday of Nigel Hitchin, one of the world’s foremost geometers and Savilian Professor of Geometry at Oxford. The proceedings contain twenty-nine articles, including three by Fields medallists (Donaldson, Mori and Yau). The articles cover a wide range of topics in geometry and mathematical physics, including the following: Riemannian geometry, geometric analysis, special holonomy, integrable systems, dynamical systems, generalized complex structures, symplectic and Poisson geometry, low-dimensional topology, algebraic geometry, moduli spaces, Higgs bundles, geometric Langlands programme, mirror symmetry and string theory. These volumes will be of interest to researchers and graduate students both in geometry and mathematical physics.

scholarly journals On the Voevodsky motive of the moduli space of Higgs bundles on a curve

2021 ◽  
Vol 27 (1) ◽  
Author(s):  
Victoria Hoskins ◽  
Simon Pepin Lehalleur
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Characteristic Zero ◽  
Rational Point ◽  
Triangulated Category ◽  
Higgs Bundles ◽  
Projective Curve ◽  
Smooth Projective Curve ◽  
De Rham

AbstractWe study the motive of the moduli space of semistable Higgs bundles of coprime rank and degree on a smooth projective curve C over a field k under the assumption that C has a rational point. We show this motive is contained in the thick tensor subcategory of Voevodsky’s triangulated category of motives with rational coefficients generated by the motive of C. Moreover, over a field of characteristic zero, we prove a motivic non-abelian Hodge correspondence: the integral motives of the Higgs and de Rham moduli spaces are isomorphic.

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