scholarly journals Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations

2006 ◽  
Vol 11 (3) ◽  
pp. 439-494
Author(s):  
Lisa Jeffrey ◽  
Young-Hoon Kiem ◽  
Frances C. Kirwan ◽  
Jonathan Woolf
Keyword(s):  
Riemann Surface ◽  
Moduli Spaces ◽  
Singular Moduli

scholarly journals Birational geometry of singular moduli spaces of O'Grady type

2016 ◽  
Vol 296 ◽  
pp. 210-267 ◽  
Author(s):  
Ciaran Meachan ◽  
Ziyu Zhang
Keyword(s):  
Moduli Spaces ◽  
Birational Geometry ◽  
Singular Moduli

scholarly journals CHEN–RUAN COHOMOLOGY OF SOME MODULI SPACES, II

2010 ◽  
Vol 21 (04) ◽  
pp. 497-522 ◽  
Author(s):  
INDRANIL BISWAS ◽  
MAINAK PODDAR
Keyword(s):  
Riemann Surface ◽  
Line Bundle ◽  
Prime Number ◽  
Moduli Space ◽  
Moduli Spaces ◽  
Vector Bundles ◽  
Line Bundles ◽  
Holomorphic Line Bundle ◽  
Stable Vector Bundles

Let X be a compact connected Riemann surface of genus at least two. Let r be a prime number and ξ → X a holomorphic line bundle such that r is not a divisor of degree ξ. Let [Formula: see text] denote the moduli space of stable vector bundles over X of rank r and determinant ξ. By Γ we will denote the group of line bundles L over X such that L⊗r is trivial. This group Γ acts on [Formula: see text] by the rule (E, L) ↦ E ⊗ L. We compute the Chen–Ruan cohomology of the corresponding orbifold.

scholarly journals GEOMETRY OF MODULI SPACES OF FLAT BUNDLES ON PUNCTURED SURFACES

1998 ◽  
Vol 09 (01) ◽  
pp. 63-73 ◽  
Author(s):  
PHILIP A. FOTH
Keyword(s):  
Riemann Surface ◽  
Conjugacy Class ◽  
Moduli Spaces ◽  
Flat Connections ◽  
Rational Singularities ◽  
Take All

For a Riemann surface with one puncture we consider moduli spaces of flat connections such that the monodromy transformation around the puncture belongs to a given conjugacy class with the property that a product of its distinct eigenvalues is not equal to 1 unless we take all of them. We prove that these moduli spaces are smooth and their natural closures are normal with rational singularities.

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