Danny Stevenson, Schreiber Hep-th, Jurco Hep-th
Principal bundles are ubiquitous in geometry and mathematical physics. A principal G-bundle consists of • a surjective submersion π: P → M • an action P × G such that
The basic bundle gerbe on unitary groups (2008)
Murray, Michael K, Stevenson, Danny
We consider the construction of the basic bundle gerbe on SU(n) introduced by Meinrenken and show that it extends to a range of groups with unitary actions on a Hilbert space including U(n), diagonal...
Geometry of infinite dimensional Grassmannians and the Mickelsson-Rajeev cocycle (2008)
In their study of the representation theory of loop groups, Pressley and Segal introduced a determinant line bundle over an infinite dimensional Grassmann manifold. Mickelsson and Rajeev subsequently...
The Classifying Space of a Topological 2-Group (2008)
Baez, John C., Stevenson, Danny
Categorifying the concept of topological group, one obtains the notion of a 'topological 2-group'. This in turn allows a theory of 'principal 2-bundles' generalizing the usual theory of principal...
Entire cyclic homology of stable continuous trace algebras (2007)
Mathai, Varghese, Stevenson, Danny
A central result in this paper is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum....
Contents joint work, in parts, with (2007)
Urs Schreiber, John Baez, Alissa Crans, Jim Stasheff, Danny Stevenson
Entire cyclic homology of stable continuous trace algebras (2006)
Mathai, Varghese, Stevenson, Danny
A central result in this paper is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum....
Entire cyclic homology of stable continuous trace algebras (2006)
Mathai, Varghese, Stevenson, Danny
A central result in this paper is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum....
From Loop Groups to 2-Groups (2005)
Baez, John C., Crans, Alissa S., Stevenson, Danny, Schreiber, Urs
We describe an interesting relation between Lie 2-algebras, the Kac-Moody central extensions of loop groups, and the group String(n). A Lie 2-algebra is a categorified version of a Lie algebra where...
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories (2005)
Carey, Alan L., Johnson, Stuart, Murray, Michael K., Stevenson, Danny, Wang, Bai-Ling
WESS-ZUMINO-WITTEN THEORIES (2005)
The Erwin, Schrödinger International Boltzmanngasse, Alan L. Carey, Stuart Johnson, Michael K. Murray, Danny Stevenson, ...
Abstract. We develop the theory of Chern-Simons bundle 2-gerbes and multiplicative bundle gerbes associated to any principal G-bundle with connection and a class in H4 (BG, Z) for a compact...
Entire cyclic homology of continuous trace algebras (2004)
Mathai, Varghese, Stevenson, Danny
A central result here is the computation of the entire cyclic homology of canonical smooth subalgebras of stable continuous trace C*-algebras having smooth manifolds M as their spectrum. More...
Bundle gerbes for Chern-Simons and Wess-Zumino-Witten theories (2004)
Carey, Alan L., Johnson, Stuart, Murray, Michael K., Stevenson, Danny, Wang, Bai-Ling
We develop the theory of Chern-Simons bundle 2-gerbes and multiplicative bundle gerbes associated to any principal $G$-bundle with connection and a class in $H^4(BG, \ZZ)$ for a compact semi-simple...
On a generalized Connes-Hochschild-Kostant-Rosenberg theorem (2004)
Mathai, Varghese, Stevenson, Danny
The central result here is an explicit computation of the Hochschild and cyclic homologies of a natural smooth subalgebra of stable continuous trace algebras having smooth manifolds X as their...
Chern character in twisted K-theory: equivariant and holomorphic cases (2002)
Mathai, Varghese, Stevenson, Danny
It has been argued by Witten and others that in the presence of a nontrivial B-field, D-brane charges in type IIB string theories are measured by twisted K-theory. In joint work with Bouwknegt, Carey...
We make the category BGrb_M of bundle gerbes on a manifold M into a 2-category by providing 2-cells in the form of transformations of bundle gerbe morphisms. This description of BGrb_M as a...
The Geometry of Bundle Gerbes (2000)
This thesis reviews the theory of bundle gerbes and then examines the higher dimensional notion of a bundle 2-gerbe. The notion of a bundle 2-gerbe connection and 2-curving are introduced and it is...