On the tropical Lefschetz-Hopf trace formula

DOI10.1007/s10801-023-01220-yarXiv2010.07901OpenAlexW3093155324MaRDI QIDQ6098210

Johannes Rau

Publication date: 13 June 2023

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2010.07901

zbMATH Keywords

tropical geometrymatroid theorytropical intersection theorybeta invariantmatroid fans

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of tropical varieties (14T15) Geometric aspects of tropical varieties (14T20) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items (1)

The tropical Poincaré-Hopf theorem

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• \(K\)-classes for matroids and equivariant localization
• First steps in tropical intersection theory
• A matroid invariant via the \(K\)-theory of the Grassmannian
• Hodge theory for combinatorial geometries
• Superforms, tropical cohomology, and Poincaré duality
• Log-concavity of characteristic polynomials and the Bergman fan of matroids
• The diagonal of tropical matroid varieties and cycle intersections
• Lefschetz section theorems for tropical hypersurfaces
• Tropical homology
• The tropical Poincaré-Hopf theorem
• Lefschetz (1,1)-theorem in tropical geometry
• Chern–Schwartz–MacPherson cycles of matroids
• Tropical Eigenwave and Intermediate Jacobians
• A Tropical Intersection Product in Matroidal Fans
• The Orlik-Solomon Algebra and the Bergman Fan of a Matroid
• Lagrangian geometry of matroids

This page was built for publication: On the tropical Lefschetz-Hopf trace formula