3 papers
math.GT2026
Morse-Novikov theory for links
L. Chen, H. Endo, A. Pajitnov
For a compact 3-manifold W. Thurston introduced a norm on the first cohomology group of the manifold. The unit ball of this norm is a polyhedron and the set of cohomology class…
math.AG2024
Proof of the geometric Langlands conjecture IV: ambidexterity
D. Arinkin, D. Beraldo, L. Chen +5
This paper performs the following steps toward the proof of GLC in the de Rham setting: (i) We deduce GLC for G=GL_n; (ii) We prove that the Langlands functor L_G constructed in [G…
math.AG2024
Proof of the geometric Langlands conjecture II: Kac-Moody localization and the FLE
D. Arinkin, D. Beraldo, J. Campbell +6
This paper is the second in a series of five that together prove the geometric Langlands conjecture. Our goals are two-fold: (1) Formulate and prove the Fundamental Local Equivalen…