Spinning geodesic Witten diagrams by Sully, James, Dyer, Ethan, Freedman, Daniel Z

“…We highlight a direct connection between the representation of the conformal block as geodesic Witten diagram and the shadow operator formalism.…”
Get full text
Get full text

Gromov-Witten/Pairs correspondence for the quintic 3-fold by Pandharipande, R., Pixton, Aaron C

“…The GW/P correspondence for Calabi-Yau complete intersections provides a structure result for the Gromov-Witten invariants in a fixed curve class. After a change of variables, the Gromov-Witten series is a rational function in the variable -q=e[superscript iu] invariant under q ↔ q[subscript -1].…”
Get full text
Get full text

A compactness theorem for the Seiberg–Witten equation with multiple spinors in dimension three by Haydys, Andriy, Walpuski, Thomas

“…We prove that a sequence of solutions of the Seiberg–Witten equation with multiple spinors in dimension three can degenerate only by converging (after rescaling) to a Fueter section of a bundle of moduli spaces of ASD instantons.…”
Get full text
Get full text

Gromov–Witten theory of elliptic fibrations: Jacobi forms and holomorphic anomaly equations by Oberdieck, Georg, Pixton, Aaron

Get full text

The Seiberg–Witten equations on end‐periodic manifolds and an obstruction to positive scalar curvature metrics by Lin, Jianfeng

Get full text

Seiberg-witten equations, end-periodic dirac operators, and a lift of Rohlin's invariant by Mrowka, Tomasz S., Ruberman, Daniel, Saveliev, Nikolai

Get full text
Get full text

Memories of Sir Michael Atiyah by Hitchin, Nigel, Lusztig, George, Witten, Edward, Donaldson, Simon, Kirwan, Frances, Kronheimer, Peter, Lawrence-Naimark, Ruth, Jeffrey, Lisa, Schroers, Bernd

Get full text

Spinors and mass on weighted manifolds by Baldauf, Julius, Ozuch, Tristan

“…This yields a monotonicity formula for the weighted spinorial Dirichlet energy of a weighted Witten spinor along Ricci flow.…”
Get full text

Schur Times Schubert via the Fomin-Kirillov Algebra by Meszaros, Karola, Panova, Greta, Postnikov, Alexander

“…This approach works in the more general setup of the (small) quantum cohomology ring of the complex flag manifold and the corresponding (3-point) Gromov-Witten invariants. We provide an algebro-combinatorial proof of the nonnegativity of the Gromov-Witten invariants in these cases, and present combinatorial expressions for these coefficients.…”
Get full text
Get full text

Curves on K3 surfaces and modular forms by Pandharipande, R., Thomas, R. P., Maulik, Davesh

“…Equivalences relating the reduced Gromov-Witten invariants of K3surfaces to characteristic numbers of stable pairs moduli spaces are proved. …”
Get full text
Get full text

Sheaf counting on local K3 surfaces by Maulik, D, Thomas, RP

“…As applications we prove two conjectures of Toda, and a conjecture of Tanaka-Thomas defining Vafa-Witten invariants in the semistable case.…”
Get full text

Genus zero Gopakumar–Vafa type invariants for Calabi–Yau 4-folds by Cao, Yalong, Maulik, Davesh, Toda, Yukinobu

“…In analogy with the Gopakumar–Vafa conjecture on CY 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi–Yau 4-folds using Gromov–Witten theory and conjectured their integrality. In this paper, we propose a sheaf-theoretic interpretation of their genus zero invariants using Donaldson–Thomas theory on CY 4-folds. …”
Get full text

Tautological relations via ����-spin structures by Pandharipande, R, Pixton, A, Zvonkine, D

“…As a result, an explicit formula for Witten’s <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="r"> <mml:semantics> <mml:mi>r</mml:mi> <mml:annotation encoding="application/x-tex">r</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-spin class is obtained (along with tautological relations in higher degrees). …”
Get full text

Skeletons of stable maps II: superabundant geometries by Ranganathan, Dhruv

“…Our approach is to understand the skeleton of a fundamental object in logarithmic Gromov–Witten theory—the stack of prestable maps to the Artin fan. …”
Get full text

Gopakumar–Vafa invariants via vanishing cycles by Maulik, Davesh, Toda, Yukinobu

“…We conjecture that these invariants are equivalent to other curve-counting theories such as Gromov–Witten theory and Pandharipande–Thomas theory. Our main theorem is that, for local surfaces, our invariants agree with PT invariants for irreducible one-cycles. …”
Get full text
Get full text

New monotonicity formulas for Ricci curvature and applications; I by Colding, Tobias

Get full text
Get full text

Boundary terms and three-point functions: an AdS/CFT puzzle resolved by Pilch, Krzysztof, Warner, Nicholas P., Freedman, Daniel Z, Pufu, Silviu

“…But its AdS 4 gravity dual, obtained from gauged N= 8 supergravity, has no cubic A 3 couplings in its Lagrangian, where A IJ is the bulk dual of O I J . So conventional Witten diagrams cannot furnish the field theory result. …”
Get full text
Get full text