143 citations · 375 across the 28 of their papers we have counts for
4 papers · 1 filter
Conformal nets V: dualizability
Arthur Bartels, Christopher L. Douglas, André Henriques
We prove that finite-index conformal nets are fully dualizable objects in the 3-category of conformal nets. Therefore, assuming the cobordism hypothesis applies, there exists a loc…
Conformal nets and local field theory
Arthur Bartels, Christopher L. Douglas, André G. Henriques
We describe a coordinate-free notion of conformal nets as a mathematical model of conformal field theory. We define defects between conformal nets and introduce composition of defe…
On the domain of the assembly map in algebraic K-theory
Arthur C. Bartels
We compare the domain of the assembly map in algebraic K-theory with respect to the family of finite subgroups with the domain of the assembly map with respect to the family of vir…
On the Isomorphism Conjecture in algebraic K-theory
Arthur Bartels, Tom Farrell, Lowell Jones +1
The Isomorphism Conjecture is a conceptional approach towards a calculation of the algebraic K-theory of a group ring RG, where G is an infinite group. In this paper we prove the c…