643 citations · 8.2k across the 91 of their papers we have counts for
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On the motivic stable pairs invariants of K3 surfaces
S. Katz, A. Klemm, R. Pandharipande
For a K3 surface S, we study motivic invariants of stable pairs moduli spaces associated to 3-fold thickenings of S. We conjecture suitable deformation and divisibility invariances…
Noether-Lefschetz theory and the Yau-Zaslow conjecture
A. Klemm, D. Maulik, R. Pandharipande +1
The Yau-Zaslow conjecture determines the reduced genus 0 Gromov-Witten invariants of K3 surfaces in terms of the Dedekind eta function. Classical intersections of curves in the mod…
Enumerative Geometry of Calabi-Yau 5-Folds
R. Pandharipande, A. Zinger
Gromov-Witten theory is used to define an enumerative geometry of curves in Calabi-Yau 5-folds. We find recursions for meeting numbers of genus 0 curves, and we determine the contr…
Enumerative geometry of Calabi-Yau 4-folds
A. Klemm, R. Pandharipande
Gromov-Witten theory is used to define an enumerative geometry of curves in Calabi-Yau 4-folds. The main technique is to find exact solutions to moving multiple cover integrals. Th…