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pro vyhledávání: '"Block, Jonathan"'
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 construction takes place within an algebraic framework, rather than the cu
Externí odkaz:
http://arxiv.org/abs/2207.13411
Publikováno v:
In Journal of Chromatography A 8 February 2023 1690
Publikováno v:
Homology Homotopy Appl. 19. (2017). no. 2. 343-371
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 that the totalization agrees with the homotopy limit in the following two
Externí odkaz:
http://arxiv.org/abs/1511.08659
Autor:
Block, Jonathan, Higson, Nigel
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 Lie groups. Our initial goal is very modest, and we shall not stray fa
Externí odkaz:
http://arxiv.org/abs/1206.4266
Autor:
Ben-Bassat, Oren, Block, Jonathan
Publikováno v:
Journal of K-Theory 12 (2013) 433-459
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 Cartesian diagrams, under certain reasonable hypotheses. This is an extensi
Externí odkaz:
http://arxiv.org/abs/1201.6118
Autor:
Block, Jonathan, Smith, Aaron M.
We describe an $A_\infty$-quasi-equivalence of dg-categories between the first authors' $\mathcal{P}_{\mathcal{A}}$ ---the category of category of prefect $A^0$-modules with flat $\Z$-connection, corresponding to the de Rham dga $\mathcal{A}$ of a co
Externí odkaz:
http://arxiv.org/abs/0908.2843
Autor:
Block, Jonathan, Daenzer, Calder
We study gerbes with connection over an etale stack via noncommutative algebras of differential forms on a groupoid presenting the stack. We then describe a dg-category of modules over any such algebra, which we claim represents a dg-enhancement of t
Externí odkaz:
http://arxiv.org/abs/0803.1529
Autor:
Block, Jonathan
This is the second in a series of papers intended to set up a framework to study categories of modules in the context of non-commutative geometries. In \cite{mem} we introduced the basic DG category $\Pc_{\A^\bullet}$, the perfect category of $\A^\bu
Externí odkaz:
http://arxiv.org/abs/math/0604296
Autor:
Block, Jonathan, Weinberger, Shmuel
This paper attempts to provide an analogue of the Novikov conjecture for algebraic (or K\"{a}hler) manifolds. Inter alia, we prove a conjecture of Rosenberg's on the birational invariance of higher Todd genera. We argue that in the algebraic geometri
Externí odkaz:
http://arxiv.org/abs/math/0511305
Autor:
Block, Jonathan
This is the first in a series of papers that deals with duality statements such as Mukai-duality (T-duality, from algebraic geometry) and the Baum-Connes conjecture (from operator $K$-theory). These dualities are expressed in terms of categories of m
Externí odkaz:
http://arxiv.org/abs/math/0509284