392 citations · 950 across the 28 of their papers we have counts for
28 papers
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…
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…
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 applicatio…
Quantization of (-1)-Shifted Derived Poisson Manifolds
Kai Behrend, Matt Peddie, Ping Xu
We investigate the quantization problem of -shifted derived Poisson manifolds in terms of $\BV_\infty$-operators on the space of Berezinian half-densities. We prove that quan…
Derived Differentiable Manifolds
Kai Behrend, Hsuan-Yi Liao, Ping Xu
We develop the theory of derived differential geometry in terms of bundles of curved -algebras, i.e. dg manifolds of positive amplitudes. We prove the category of deri…
The inertia operator on the motivic Hall algebra
Kai Behrend, Pooya Ronagh
We study the action of the inertia operator on the motivic Hall algebra, and prove that it is diagonalizable. This leads to a filtration of the Hall algebra, whose associated grade…