3 papers
math.SG2024
Fourier transforms and a filtration on the Lagrangian cobordism group of tori
Álvaro Muñiz-Brea
Given a polarized tropical affine torus, we show that the fibered Lagrangian cobordism group of the corresponding symplectic manifold admits a natural geometric filtration of finit…
math.AG2024
Dimensionality of tropical Chow groups
Álvaro Muñiz-Brea
We show that the existence of non-zero tropical forms of degree at least two implies that the tropical Chow group of points of a tropical affine manifold is infinite-dimensional. T…
math-ph2021
The Hamilton--Jacobi theory for contact Hamiltonian systems
Manuel de León, Manuel Laínz, Álvaro Muñiz--Brea
The aim of this paper is to develop a Hamilton--Jacobi theory for contact Hamiltonian systems. We find several forms for a suitable Hamilton-Jacobi equation accordingly to the Hami…