Decomposing moduli of representations of finite-dimensional algebras
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Annalen"
DOI: 10.1007/s00208-018-1687-7
Abstract: Consider a finite-dimensional algebra A and any of its moduli spaces $${{\mathcal {M}}}(A,\mathbf {d})^{ss}_{\theta }$$M(A,d)θss of representations. We prove a decomposition theorem which relates any irreducible component of $${{\mathcal {M}}}(A,{\mathbf {d}})^{ss}_{\theta }$$M(A,d)θss to a product… read more here.
Keywords: finite dimensional; moduli representations; moduli spaces; representations finite ... See more keywords
$$\mathrm {SO}(p,q)$$-Higgs bundles and Higher Teichmüller components
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DOI: 10.1007/s00222-019-00885-2
Abstract: Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they… read more here.
Keywords: higher teichm; bundles higher; moduli spaces; components moduli ... See more keywords
The moduli spaces of equivariant minimal surfaces in $${\mathbb {RH}}^3$$RH3 and $$\mathbb {RH}^4$$RH4 via Higgs bundles
Sign Up to like & getrecommendations! Published in 2018 at "Geometriae Dedicata"
DOI: 10.1007/s10711-018-0395-5
Abstract: In this article we introduce a definition for the moduli space of equivariant minimal immersions of the Poincaré disc into a non-compact symmetric space, where the equivariance is with respect to representations of the fundamental… read more here.
Keywords: equivariant minimal; space; moduli spaces; higgs bundles ... See more keywords
Rates of mixing for the Weil-Petersson geodesic flow I: no rapid mixing in non-exceptional moduli spaces
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2016.10.026
Abstract: Abstract We show that the rate of mixing of the Weil–Petersson flow on non-exceptional (higher dimensional) moduli spaces of Riemann surfaces is at most polynomial. read more here.
Keywords: weil petersson; moduli spaces; mixing weil; non exceptional ... See more keywords
Corrigendum and addendum to “Moduli spaces of framed sheaves and quiver varieties”
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2017.07.008
Abstract: Abstract This paper is an erratum to our paper Moduli spaces of framed sheaves and quiver varieties (J. Geom. Phys., 2016). As a byproduct, we prove a result (Prop. 2.5) providing a description of the… read more here.
Keywords: spaces framed; moduli spaces; framed sheaves; quiver varieties ... See more keywords
Quasi-Poisson structures on moduli spaces of quasi-surfaces
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103743
Abstract: Abstract In generalization of the classical Atiyah–Bott Poisson brackets on the moduli spaces of surfaces we define quasi-Poisson brackets on the moduli spaces of quasi-surfaces. read more here.
Keywords: poisson structures; quasi poisson; quasi surfaces; structures moduli ... See more keywords
The eventually distance minimizing rays in moduli spaces
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DOI: 10.1016/s0252-9602(18)30795-1
Abstract: Abstract The eventually distance minimizing ray (EDM ray) in moduli spaces of the Riemann surfaces of analytic finite type with 3g + n − 3 > 0 is studied, which was introduced by Farb and… read more here.
Keywords: edm rays; distance minimizing; end points; moduli spaces ... See more keywords
The Gromov limit for vortex moduli spaces
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DOI: 10.1142/s0129055x19500041
Abstract: We generalize the descriptions of vortex moduli spaces in [4] to more than one section with adiabatic constant [Formula: see text]. The moduli space is topologically independent of [Formula: see text] but is not compact… read more here.
Keywords: vortex moduli; formula see; moduli spaces; gromov limit ... See more keywords
Hamiltonian structures of isomonodromic deformations on moduli spaces of parabolic connections
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DOI: 10.2969/jmsj/83858385
Abstract: In this paper, we treat moduli spaces of parabolic connections. We take \'etale coverings of the moduli spaces, and we construct a Hamiltonian structure of an algebraic vector field determined by the isomonodromic deformation for… read more here.
Keywords: parabolic connections; moduli spaces; isomonodromic deformations; structures isomonodromic ... See more keywords