13 citations
9 papers
Cohomology of Harmonic Forms on Riemannian Manifolds With Boundary
Sylvain Cappell, Dennis DeTurck, Herman Gluck +1
Theorem. Let M be a compact, connected, oriented smooth Riemannian n-manifold with non-empty boundary. Then the cohomology of the complex (Harm*(M),d) of harmonic forms on M is giv…
Coherently tunable third-order nonlinearity in a nanojunction
Vadim A. Markel
A possibility of tuning the phase of the third-order Kerr-type nonlinear susceptibility in a system consisting of two interacting metal nanospheres and a nonlinearly polarizable mo…
Topological properties of Eschenburg spaces and 3-Sasakian manifolds
Ted Chinburg, Christine Escher, Wolfgang Ziller
The authors examine topological properties of the 7-dimensional Eschenburg biquotients diag(z^k1,z^k2,z^k3)\SU(3)/diag(z^l1,z^l2,z^l3). A subfamily of these spaces carry a 3-Sasaki…
Experimental Results and Theoretical Developments of Muon g-2
H. Deng, for Muon g-2 Collaboration
The anomalous magnetic moments of both positive and negative muons are measured to the precision of 0.7 parts per million. Two values are in good agreement. The standard model calc…
Dimer Statistics on a Bethe Lattice
A. B. Harris, Michael Cohen
We discuss the exact solutions of various models of the statistics of dimer coverings of a Bethe lattice. We reproduce the well-known exact results for noninteracting hard-core dim…
Lectures on D-branes, Gauge Theories and Calabi-Yau Singularities
Yang-Hui He
These lectures, given at the Chinese Academy of Sciences for the BeiJing/HangZhou International Summer School in Mathematical Physics, are intended to introduce, to the beginning s…