3 papers
math.AG2026
A Pardon Algebra for Zero-cycles
Kai Behrend
Recently, John Pardon proved the MNOP conjecture (on the GW-DT correspondence for CY3s) by introducing a new mathematical gadget, which we call the Pardon homology algebra of 1-cyc…
math.DG2025
On the structure of étale fibrations of -bundles
Kai Behrend, Hsuan-Yi Liao, Ping Xu
We prove that an étale fibration between -bundles admits local sections composed of several elementary morphisms of particularly simple and accessible type. As applicati…
math.DG2024
Differential graded manifolds of finite positive amplitude
Kai Behrend, Hsuan-Yi Liao, Ping Xu
We prove that dg manifolds of finite positive amplitude, i.e. bundles of positively graded curved -algebras, form a category of fibrant objects. As a main step in the…