3 problems
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Independence of refined Higgs invariants from the degree
Degree-independence conjecture. For fixed , both and are independent of ; equivalently, they have the same value for all pairs…
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Refined multicover conjecture for Higgs sheaf invariants
Refined multicover conjecture. One has
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Refined wallcrossing conjecture for residual ADHM and Higgs sheaf invariants
Refined wallcrossing conjecture. These invariants exist in and satisfy the two wallcrossing formulas stated in the source: across every positive critical parameter…