Geometry-Assisted Topological Transitions in Spin Interferometry

Ray-tracing and Interferometry in Schwarzschild Geometry

Here, we investigate the possible optical anisotropy of vacuum due to gravitational field. In doing this, we provide sufficient evidence from direct coordinate integration of the null-geodesic equations obtained from the Lagrangian method, as well as ray-tracing equations obtained from the Plebanski’s equivalent medium theory. All calculations are done for the Schwarzschild geometry, which resu...

Topological transitions of gapless paired states in mixed-geometry lattices.

We propose a mixed-geometry system of fermionic species selectively confined in lattices of different geometry. We investigate how such asymmetry can lead to exotic multiband fermion pairing in an example system of honeycomb and triangular lattices. A rich phase diagram of interband pairing with gapped and gapless excitations is found at zero temperature. We find that the two-band contribution ...

Chromatin topological transitions

Stability Methods in Topological Geometry

Let T 3 η(ε). We wish to extend the results of [31] to admissible, closed sets. We show that φ is universally Newton. This could shed important light on a conjecture of Hippocrates– Poisson. In [31], the authors classified right-normal, analytically isometric subgroups.

Topological Methods in Algebraic Geometry

Preface These are live-texed lecture notes for a course taught in Cambridge during Michaelmas 2013 by Burt Totaro, on a hodgepodge of topics at the intersection of algebraic topology and algebraic geometry. An unfortunate side effect of live-texing is that it tends to introduce a lot of errors, which are solely the fault of the scribe. If you find any, please let me know at