The motivic generating-function conjecture for stable-bundle moduli spaces
The motivic generating-function conjecture for stable-bundle moduli spaces
Let be the completed and suitably localized Grothendieck ring of motives over , and let denote the set of characters . For each , let be the motive of the stack of semistable bundles on with character , and let be the motive of the moduli space of stable bundles. For , define
Let have multiplication . Motivic generating-function conjecture. One has
in . This is the motivic analogue of the preceding virtual-Hodge-polynomial formula; the supplied text does not state whether the conjecture has been resolved.
Sources & referencesView supporting material
Primary source
Sergey Mozgovoy, “Poincare polynomials of moduli spaces of stable bundles over curves”, arXiv:0711.0634 (2007).
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