Holonomic -modules and positive characteristic

By M. Kontsevich. 2009

55 citations recorded by the source corpus.

Abstract.We discuss a hypothetical correspondence between holonomic -modules on an algebraic variety X defined over a field of zero characteristic, and certain families of Lagrangian subvarieties in the cotangent bundle to X. The correspondence is based on the reduction to positive characteristic.

Subfields: Geometry and Topology, Mathematical Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ae6bbac2c2a498a1d72b9ed7030d202abbcbd130

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Geometry and Topology

1. P. Sułkowski
2. Sergei Gukov
3. E. Witten
4. Tudor Dimofte
5. Francesco Costantino
6. Pavel Putrov
7. C. Vafa
8. Abhijit Gadde

In Mathematical Physics

1. P. Sułkowski
2. Sergei Gukov
3. E. Witten
4. Tudor Dimofte
5. D. Gaiotto
6. I. Cherednik
7. C. Vafa
8. Abhijit Gadde

In Statistical and Nonlinear Physics

1. Sergei Gukov
2. P. Sułkowski
3. E. Witten
4. Yuji Tachikawa
5. D. Gaiotto
6. C. Vafa
7. Abhijit Gadde
8. Dan Xie

Citations in the corpus

• A-polynomial, B-model, and quantization (2011, background): “metry in which strings propagate, namely a hypersurface in (C∗)2 ×C2: A(x,y) = zw. (1.8) The parameter ~is the string coupling constant. 5. D-modules: There is also a mathematical theory of D-modules [7, 8, 9], which studies modules over rings of differential operators, and in particular operators wi”