Differential Geometry of Microlinear Frolicher Spaces II

In this paper, as the second in our series of papers on differential geometry of microlinear Frolicher spaces, we study differenital forms. The principal result is that the exterior differentiation is uniquely determined geometrically, just as grad (ient), div (ergence) and rot (ation) are uniquely determined geometrically or physically in classical vector calculus. This infinitesimal characterization of exterior differentiation has been completely missing in orthodox differential geometry

Axiomatic Differential Geometry II-2: Differential Forms

We refurbish our axiomatics of differential geometry introduced in [Mathematics for Applications,, 1 (2012), 171-182]. Then the notion of Euclideaness can naturally be formulated. The principal objective in this paper is to present an adaptation of our theory of differential forms developed in [International Journal of Pure and Applied Mathematics, 64 (2010), 85-102] to our present axiomatic framework

Factorization Method for Simulating QCD at Finite Density

We propose a new method for simulating QCD at finite density. The method is based on a general factorization property of distribution functions of observables, and it is therefore applicable to any system with a complex action. The so-called overlap problem is completely eliminated by the use of constrained simulations. We test this method in a Random Matrix Theory for finite density QCD, where we are able to reproduce the exact results for the quark number density.Comment: 7 pages, 1 figure, Talk given at 2002 International Workshop on Strong Coupling Gauge Theories and Effective Field Theories (SCGT 02), Nagoya, Japan, 10-13 Dec 200

The Tale of the Tokugawa Artifacts: Japanese Funerary Lanterns at the Penn Museum

That previously stood at the back of the quiet inner courtyard of the Penn Museum waited many years for its significance to be rediscovered. It is one of the Tokugawa lanterns that long illuminated the shogunate family’s grand mausoleums during the Edo period (1603–1868 CE) in the Zōjōji temple in Tokyo, Japan. Photographs taken around 1930 show the lanterns flanking the Museum entrance in the Stoner Courtyard. The prominent placement of these objects suggests that, in those days, the Museum acknowledged the significance of the lanterns. One of the lanterns was subsequently moved to Museum storage after suffering damage from an act of vandalism in the 1950s or 1960s. Although it is not clear exactly when the lanterns left Japan and arrived in the United States, Stephen Lang, Lyons Keeper in the Asian Section at the Museum, has determined that the lanterns came into the Museum collection as a loan in 1919 from Mrs. Richard Waln Meirs (Anne Walker Weightman Meirs Rush, 1871–1958). They may have been sent from Japan by Mrs. Meirs’ uncle, Robert Jarvis Cochran Walker in the late 1880s to be displayed at Meirs’ Ravenhill Mansion. [excerpt