69 citations · 155 across the 12 of their papers we have counts for
14 papers
A Non Commutative Grauert Theorem and Fourier Mukai Duality for Generalized Complex Tori
Patrick Antweiler, Jonathan Block
We prove a generalization of Grauert's higher coherence theorem for a class of curved differential graded (non-commutative) Fréchet algebras. This allows us to extend the Fourier-M…
Persistent homology of function spaces
Jonathan Block, Fedor Manin, Shmuel Weinberger
We can view the Lipschitz constant as a height function on the space of maps between two manifolds and ask (as Gromov did nearly 30 years ago) what its ``Morse landscape'' looks li…
On Perrot's index cocycles
Jonathan Block, Nigel Higson, Jesus Sanchez
We shall present a simplified version of a construction due to Denis Perrot that recovers the Todd class of the complexified tangent bundle from a JLO-type cyclic cocycle. The cons…
Explicit homotopy limits of dg-categories and twisted complexes
Jonathan Block, Julian V. S. Holstein, Zhaoting Wei
In this paper we study the homotopy limits of cosimplicial diagrams of dg-categories. We first give an explicit construction of the totalization of such a diagram and then show tha…
Weyl character formula in KK-theory
Jonathan Block, Nigel Higson
The purpose of this paper is to begin an exploration of connections between the Baum-Connes conjecture in operator $\K$-theory and the geometric representation theory of reductive…
Milnor descent for cohesive dg-categories
Oren Ben-Bassat, Jonathan Block
We show that the functor from curved differential graded algebras to differential graded categories, defined by the second author in [B], sends Cartesian diagrams to homotopy Carte…