Â-genus and Collapsing

Gravitational Collapse to Toroidal and Higher Genus Asymptotically AdS Black Holes

We match collapsing inhomogeneous as well as spatially homogeneous but anisotropic spacetimes to vacuum static exteriors with a negative cosmological constant and planar or hyperbolic symmetry. The collapsing interiors include the inhomogeneous solutions of Szekeres and of Barnes, which in turn include the Lemâıtre-Tolman and the McVittie solutions. The collapse can result in toroidal or higher...

Â-Genus and the Sigma Model

This set of lecture notes presents a pedantic derivation of the connection between the Â-genus of spacetime’s loop space and the genus one partition function of the N = 1/2 sigma model. It concludes with some remarks on possible generalizations of the Âgenus which follow naturally from the ‘stringy’ point-of-view but have yet to be explored mathematically. This set of lecture notes is geared to...

Using Synthetic Packet Pairs to Investigate €€€€€€€€Real-time Latency Variations over Home Broadband Connections

Abstract—Synthetic Packet Pairs (SPP) is a smart approach to estimating round trip time (RTT) with passive monitoring. SPP gives greater accuracy and resolution than conventional active methods. With the ability to measure RTT as experienced by a particular application, SPP can be used to visualise the effectiveness of QoS implementations and further understand delay characteristics of specific...

Large-small Dualities between Periodic Collapsing/expanding Branes and Brane Funnels

We consider space and time dependent fuzzy spheres S 2p arising in D1 − D(2p + 1) intersections in IIB string theory and collapsing D(2p)-branes in IIA string theory. In the case of S 2 , where the periodic space and time-dependent solutions can be described by Jacobi elliptic functions, there is a duality of the form r to 1 r which relates the space and time dependent solutions. This duality i...

Saving for College and the Tax Code: A New Spin on the â•œWho Pays for Higher Education?â•š