Search Results - "PANDHARIPANDE, R."

Curve counting via stable pairs in the derived category by Pandharipande, R., Thomas, R. P.

“…For a nonsingular projective 3-fold X , we define integer invariants virtually enumerating pairs ( C , D ) where C ⊂ X is an embedded curve and D ⊂ C is a…”
Get full text

Gromov-Witten/Pairs correspondence for the quintic 3-fold by PANDHARIPANDE, R., PIXTON, A.

“…We use the Gromov-Witten/Pairs (GW/P) descendent correspondence for toric 3-folds and degeneration arguments to establish the GW/P correspondence for several…”
Get full text

Double ramification cycles on the moduli spaces of curves by Janda, F., Pandharipande, R., Pixton, A., Zvonkine, D.

“…Curves of genus g which admit a map to P 1 with specified ramification profile μ over 0 ∈ P 1 and ν over ∞ ∈ P 1 define a double ramification cycle DR g ( μ ,…”
Get full text

GW/PT Descendent Correspondence via Vertex Operators by Oblomkov, A., Okounkov, A., Pandharipande, R.

“…We propose an explicit formula for the GW / PT descendent correspondence in the stationary case for nonsingular connected projective threefolds. The formula,…”
Get full text

Algebraic cobordism revisited by Levine, M., Pandharipande, R.

“…We define a cobordism theory in algebraic geometry based on normal crossing degenerations with double point singularities. The main result is the equivalence…”
Get full text

Convex rationally connected varieties by PANDHARIPANDE, R.

“…We prove that all nonsingular, convex, rationally connected, complete intersections in projective space are homogeneous…”
Get full text

Enumerative Geometry of Calabi-Yau 4-Folds by Klemm, A., Pandharipande, R.

“…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…”
Get full text

Quantum cohomology of the Hilbert scheme of points in the plane by Okounkov, A., Pandharipande, R.

“…We determine the ring structure of the equivariant quantum cohomology of the Hilbert scheme of points of ℂ 2 . The operator of quantum multiplication by the…”
Get full text

Stable pairs and BPS invariants by PANDHARIPANDE, R., THOMAS, R. P.

“…We define the BPS invariants of Gopakumar-Vafa in the case of irreducible curve classes on Calabi-Yau 3-folds. The main tools are the theory of stable pairs in…”
Get full text

Gromov-Witten Theory, Hurwitz Theory, and Completed Cycles by Okounkov, A., Pandharipande, R.

Get full text

THE KATZ–KLEMM–VAFA CONJECTURE FOR $K3$ SURFACES by PANDHARIPANDE, R., THOMAS, R. P.

“…We prove the KKV conjecture expressing Gromov–Witten invariants of $K3$ surfaces in terms of modular forms. Our results apply in every genus and for every…”
Get full text

Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds by Maulik, D., Oblomkov, A., Okounkov, A., Pandharipande, R.

“…We prove the equivariant Gromov-Witten theory of a nonsingular toric 3-fold X with primary insertions is equivalent to the equivariant Donaldson-Thomas theory…”
Get full text

Cohomological field theories with non-tautological classes by Pandharipande, R., Zvonkine, D., Petersen, D.

Get full text

Noether-Lefschetz theory and the Yau-Zaslow conjecture by Klemm, A., Maulik, D., Pandharipande, R., Scheidegger, E.

“…The Yau-Zaslow conjecture predicts the genus 0 curve counts of K3 surfaces in terms of the Dedekind \eta function. The classical intersection theory of curves…”
Get full text

Localization of virtual classes by Graber, T., Pandharipande, R.

Get full text

Hodge integrals and Gromov-Witten theory by Faber, C., Pandharipande, R.

Get full text

Virasoro constraints for target curves by Okounkov, A., Pandharipande, R.

“…We prove generalized Virasoro constraints for the relative Gromov-Witten theories of all nonsingular target curves. Descendents of the even cohomology classes…”
Get full text

Hedge integrals and Gromov-Witten theory by Faber, Carel, Pandharipande, R.

Get full text

Disk Enumeration on the Quintic 3-Fold by Pandharipande, R., Solomon, J., Walcher, J.

“…Holomorphic disk invariants with boundary in the real Lagrangian of a quintic 3-fold are calculated by localization and proven mirror transforms. A careful…”
Get full text

Gromov-Witten/Donaldson-Thomas correspondence for toric 3-folds by Maulik, D., Oblomkov, A., Okounkov, A., Pandharipande, R.

Get full text