The orbit type stratification of the moduli space of Higgs bundles
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DOI: 10.1007/s00208-021-02244-0
Abstract: The moduli space of Higgs bundles can be constructed as a quotient of an infinite-dimensional space and hence admits an orbit type decomposition. In this paper, we show that the orbit type decomposition is a… read more here.
Keywords: space; orbit type; space higgs; moduli space ... See more keywords
Moduli Space of Supersymmetric Solitons and Black Holes in Five Dimensions
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DOI: 10.1007/s00220-018-3215-8
Abstract: We determine all asymptotically flat, supersymmetric and biaxisymmetric soliton and black hole solutions to five-dimensional minimal supergravity. In particular, we show that the solution must be a multi-centred solution with a Gibbons–Hawking base. The proof… read more here.
Keywords: solitons black; space; black hole; space supersymmetric ... See more keywords
Simple zero property of some holomorphic functions on the moduli space of tori
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DOI: 10.1007/s11425-018-9355-0
Abstract: We prove that some holomorphic functions on the moduli space of tori have only simple zeros. Instead of computing the derivative with respect to the moduli parameter τ, we introduce a conceptual proof by applying… read more here.
Keywords: simple zero; holomorphic functions; moduli space; functions moduli ... See more keywords
Automorphism group of the moduli space of parabolic bundles over a curve
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DOI: 10.1016/j.aim.2021.108070
Abstract: We find the automorphism group of the moduli space of parabolic bundles on a smooth curve (with fixed determinant and system of weights). This group is generated by: automorphisms of the marked curve, tensoring with… read more here.
Keywords: group; automorphism group; space parabolic; moduli space ... See more keywords
Line bundles on the moduli space of parabolic connections over a compact Riemann surface
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DOI: 10.1016/j.aim.2022.108360
Abstract: Let X be a compact Riemann surface of genus g ≥ 3 and S a finite subset of X . Let ξ be fixed a holomorphic line bundle over X of degree d. LetMpc(r, d,… read more here.
Keywords: moduli space; compact riemann; riemann surface; line ... See more keywords
Wonderful compactifications and rational curves with cyclic action
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DOI: 10.1017/fms.2023.26
Abstract: Abstract We prove that the moduli space of rational curves with cyclic action, constructed in our previous work, is realizable as a wonderful compactification of the complement of a hyperplane arrangement in a product of… read more here.
Keywords: wonderful compactifications; moduli space; cyclic action; rational curves ... See more keywords
On topology of the moduli space of gapped Hamiltonians for topological phases
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DOI: 10.1063/5.0136906
Abstract: The moduli space of gapped Hamiltonians that are in the same topological phase is an intrinsic object that is associated with the topological order. The topology of these moduli spaces has been used recently in… read more here.
Keywords: topology; space gapped; moduli space; gapped hamiltonians ... See more keywords
An Outline of the Log Minimal Model Program for the Moduli Space of Curves
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DOI: 10.1080/10586458.2016.1138250
Abstract: ABSTRACT We consider the log minimal model program for the moduli space of stable curves. It is widely believed now that there is a descending sequence of critical $α$ values where the log canonical model… read more here.
Keywords: log minimal; model program; model; moduli space ... See more keywords
Open 𝑟-Spin Theory I: Foundations
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DOI: 10.1093/imrn/rnaa345
Abstract: We lay the foundation for a version of $r$-spin theory in genus zero for Riemann surfaces with boundary. In particular, we define the notion of $r$-spin disks, their moduli space, and the Witten bundle; we… read more here.
Keywords: open spin; theory; spin theory; spin ... See more keywords
Fourier–Mukai Transform on a Compactified Jacobian
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DOI: 10.1093/imrn/rny136
Abstract: We use Fourier–Mukai transform to compute the cohomology of the Picard bundles on the compactified Jacobian of an integral nodal curve $Y$. We prove that the transform gives an injective morphism from the moduli space… read more here.
Keywords: vector bundles; mukai transform; space vector; moduli space ... See more keywords
Membrane limits in quantum gravity
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DOI: 10.1103/physrevd.105.066024
Abstract: It is expected that infinite distance limits in the moduli space of quantum gravity are accompanied by a tower of light states. In view of the Emergent String Conjecture, this tower must either induce a… read more here.
Keywords: limits quantum; membrane limits; membrane; moduli space ... See more keywords