Geodesic
Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces
Épijournal de Géométrie Algébrique, Tome 4 (2020)

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We compute generating functions for elliptic genera with values in line bundles on Hilbert schemes of points on surfaces. As an application we also compute generating functions for elliptic genera with values in determinant line bundles on moduli spaces of sheaves on K3 surfaces. 
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     author = {G\"ottsche, Lothar},
     title = {Refined {Verlinde} formulas for {Hilbert} schemes of points and moduli spaces of sheaves on {K3} surfaces},
     journal = {\'Epijournal de G\'eom\'etrie Alg\'ebrique},
     publisher = {mathdoc},
     volume = {4},
     year = {2020},
     doi = {10.46298/epiga.2020.volume4.5282},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/epiga.2020.volume4.5282/}
}
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Göttsche, Lothar. Refined Verlinde formulas for Hilbert schemes of points and moduli spaces of sheaves on K3 surfaces. Épijournal de Géométrie Algébrique, Tome 4 (2020). doi: 10.46298/epiga.2020.volume4.5282

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