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math.AG2024
Very stable and wobbly loci for elliptic curves
Kuntal Banerjee, Steven Rayan
We explore very stable and wobbly bundles, twisted in a particular sense by a line bundle, over complex algebraic curves of genus . We verify that twisted stable bundles on an e…
math.AG2024
Topological recursion and variations of spectral curves for twisted Higgs bundles
Christopher Mahadeo, Steven Rayan
Prior works relating meromorphic Higgs bundles to topological recursion, in particular those of Dumitrescu-Mulase, have considered non-singular models that allow the recursion to b…
math.AG2016★ 7 cited
The quiver at the bottom of the twisted nilpotent cone on
Steven Rayan
For the moduli space of Higgs bundles on a Riemann surface of positive genus, critical points of the natural Morse-Bott function lie along the nilpotent cone of the Hitchin fibrati…