Transverse hilbert schemes, bi-hamiltonian systems and hyperkähler geometry

Autor:	Roger Bielawski
Rok vydání:	2021
Předmět:	Transverse plane General Mathematics 010102 general mathematics 0103 physical sciences 010307 mathematical physics 0101 mathematics Mathematics::Symplectic Geometry 01 natural sciences Mathematics Hamiltonian system Mathematical physics
Zdroj:	The Quarterly Journal of Mathematics. 72:237-252
ISSN:	1464-3847 0033-5606
DOI:	10.1093/qmath/haaa059
Popis:	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.
Databáze:	OpenAIRE
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