Cocycles on tropical varieties via piecewise polynomials

Abstract

We use piecewise polynomials to define tropical cocycles generalising the well-known notion of tropical Cartier divisors to higher codimensions. Groups of cocycles are tropical analogues of Chow cohomology groups. We also introduce an intersection product of cocycles with tropical cycles - the counterpart of the classical cap product - and prove that this gives rise to a Poincaré duality in some cases.

15 pages, 3 figures, some more details added

References in corpus (3)

• The diagonal of tropical matroid varieties and cycle intersections
• Tropical Intersection Theory from Toric Varieties
• Universal families of rational tropical curves

Cited by in corpus (1)

• Universal families of rational tropical curves