2020/07/31 by Michail Savvas · 3 citations
Mathematics · #Advanced Algebra and Geometry #Algebra over a field #Algebraic Geometry and Number Theory #Differential (mechanical device) #Geometry and complex manifolds #Mathematics #Philosophy #Physics #Pure mathematics #Zero (linguistics) #math.AG #math.DG #msc:14A30 #msc:14J32 #msc:14J35 #msc:14J42 #msc:14N35 #msc:53D30
paper · pdf · doi:10.1016/j.aim.2022.108232
published in Advances in Mathematics 398, 108232 (Elsevier BV) · 29 pages; results and exposition improved. Published version
openalex created_date 2020/08/03 · openalex publication_date 2022/02/14 · arxiv created 2022/02/22 · arxiv updated 2022/02/23 · openalex updated_date 2026/08/05
We establish cosection localization and vanishing results for virtual fundamental classes of derived manifolds, combining the theory of derived differential geometry by Joyce with the theory of cosection localization by Kiem-Li. As an application, we show that the stable pair invariants of hyperkähler fourfolds, defined by Cao-Maulik-Toda, are zero.