We study the BPS invariants of the preferred Calabi–Yau resolution of ADE polyhedral singularities C^3/G given by Nakamura’s G-Hilbert schemes. Genus 0 BPS invariants are defined by means of the moduli space of torsion sheaves as proposed by Katz (J Differ Geom 79(2):185–195, 2008). We show that these invariants are equal to half the number of certain positive roots of an ADE root system associated to G. This is in agreement with the prediction given in Bryan and Gholampour (Invent Math, in press) via Gromov–Witten theory
Let $Y$ be a smooth projective threefold and let $f:Y\to X$ be a birational map with $Rf_*\mathcal{O...
AbstractFix a split connected reductive group G over a field k, and a positive integer r. For any r-...
Abstract. We study semistable extremal threefold neighborhoods following earlier work of Mori, Kollá...
We study the BPS invariants of the preferred Calabi–Yau resolution of ADE polyhedral singularities ...
Let G be a polyhedral group, namely a finite subgroup of SO(3). Nakamura’s G-Hilbert scheme provides...
Let G be a polyhedral group, namely a finite subgroup of SO(3). Nakamura’s G-Hilbert scheme provides...
ABSTRACT. Let G be a polyhedral group, namely a finite sub-group of SO(3). Nakamura’s G-Hilbert sche...
We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler ...
22 pagesInternational audienceWe prove a formula computing the Gromov-Witten invariants of genus zer...
We study certain DT invariants arising from stable coherent sheaves in a nonsingular projective thre...
Relative Bogomolny-Prasad-Sommerfield (BPS) state counts for log Calabi-Yau surface pairs were intro...
It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce re...
It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce re...
It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce re...
We regard the work of Maulik and Toda, proposing a sheaf-theoretic approach to Gopakumar–Vafa invari...
Let $Y$ be a smooth projective threefold and let $f:Y\to X$ be a birational map with $Rf_*\mathcal{O...
AbstractFix a split connected reductive group G over a field k, and a positive integer r. For any r-...
Abstract. We study semistable extremal threefold neighborhoods following earlier work of Mori, Kollá...
We study the BPS invariants of the preferred Calabi–Yau resolution of ADE polyhedral singularities ...
Let G be a polyhedral group, namely a finite subgroup of SO(3). Nakamura’s G-Hilbert scheme provides...
Let G be a polyhedral group, namely a finite subgroup of SO(3). Nakamura’s G-Hilbert scheme provides...
ABSTRACT. Let G be a polyhedral group, namely a finite sub-group of SO(3). Nakamura’s G-Hilbert sche...
We study the BPS invariants for local del Pezzo surfaces, which can be obtained as the signed Euler ...
22 pagesInternational audienceWe prove a formula computing the Gromov-Witten invariants of genus zer...
We study certain DT invariants arising from stable coherent sheaves in a nonsingular projective thre...
Relative Bogomolny-Prasad-Sommerfield (BPS) state counts for log Calabi-Yau surface pairs were intro...
It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce re...
It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce re...
It is well known that in string compactifications on toric Calabi–Yau manifolds one can introduce re...
We regard the work of Maulik and Toda, proposing a sheaf-theoretic approach to Gopakumar–Vafa invari...
Let $Y$ be a smooth projective threefold and let $f:Y\to X$ be a birational map with $Rf_*\mathcal{O...
AbstractFix a split connected reductive group G over a field k, and a positive integer r. For any r-...
Abstract. We study semistable extremal threefold neighborhoods following earlier work of Mori, Kollá...