5 papers
Every conformal net has an associated unitary VOA
André G. Henriques, James E. Tener
Unitary vertex operator algebras (VOAs) and conformal nets are the two most prominent mathematical axiomatizations of two-dimensional unitary chiral conformal field theories. They…
Integrating positive energy representations of the Virasoro algebra
André G. Henriques, James E. Tener
We show that every unitary positive energy representation W of the Virasoro algebra exponentiates to a holomorphic *-representation of the semigroup of annuli by bounded operators…
A three-functor formalism for commutative von Neumann algebras
Andre G. Henriques, Thomas A. Wasserman
A three-functor formalism is the half of a six-functor formalism that supports the projection and base change formulas. In this paper, we provide a three-functor formalism for comm…
The geometry of zonotopal algebras I: cohomology of graphical configuration spaces
Colin Crowley, Galen Dorpalen-Barry, André Henriques +1
Zonotopal algebras of vector arrangements are combinatorially-defined algebras with connections to approximation theory, introduced by Holtz and Ron and independently by Ardila and…
Complete W*-categories
André Henriques, Nivedita, David Penneys
We study -categories, and explain the ways in which complete -categories behave like categorified Hilbert spaces. Every -category admi…