On contact 3‐manifolds that admit a nonfree toric action
Abstract We classify all contact structures on 3‐manifolds that admit a nonfree toric action, up to contactomorphism, and present them through explicit topological descriptions. Our classification is based on Lerman's classification of toric contact 3‐manifolds up to equivariant contactomorphism [Lerman, J. Symplectic Geom. 1 (2003), 785–828].
Aleksandra Marinković, Laura Starkston
wiley +1 more source
On the paper “Bundle gerbes” by Michael Murray
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley +1 more source
Theta divisors and permutohedra
Abstract We establish an intriguing relation of the smooth theta divisor Θn$\Theta ^n$ with permutohedron Πn$\Pi ^n$ and the corresponding toric variety XΠn$X_\Pi ^n$. In particular, we show that the generalised Todd genus of the theta divisor Θn$\Theta ^n$ coincides with h$h$‐polynomial of permutohedron Πn$\Pi ^n$ and thus is different from the same ...
V. M. Buchstaber, A. P. Veselov
wiley +1 more source
Thermal Uhlmann-Chern number from the Uhlmann connection for extracting topological properties of mixed states [PDF]
Yan He, Hao Guo, Chih-Chun Chien
openalex +1 more source
Super Chern Simons Theory and Flat Super Connections on a Torus [PDF]
Aleksandar Miković, Roger Picken
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The Hitchin-Witten Connection and Complex Quantum Chern-Simons Theory
We give a direct calculation of the curvature of the Hitchin connection, in geometric quantization on a symplectic manifold, using only differential geometric techniques. In particular, we establish that the curvature acts as a first-order operator on the quantum spaces.
Andersen, Jørgen Ellegaard +1 more
openaire +3 more sources
Decomposition Theory of Spin Connection and Topological Structure of Gauss-Bonnet-Chern Theorem on Manifold With Boundary [PDF]
Sheng Li, Yi-Shi Duan
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Narain CFTs from quantum codes and their $${\mathbb{Z}}_{2}$$ gauging
We investigate the gauging of a $${\mathbb{Z}}_{2}$$ symmetry in Narain conformal field theories (CFTs) constructed from qudit stabilizer codes. Considering both orbifold and fermionization, we establish a connection between $${\mathbb{Z}}_{2}$$ gauging ...
Kohki Kawabata +2 more
doaj +1 more source
Chern currents of singular connections associated with a section of a compactified bundle [PDF]
J. Zweck
openalex +1 more source
Quantum theory of $$k(\phi )$$-FLRW-metrics its connection to Chern-Simons-models and the theta vacuum structure of quantum gravity [PDF]
Julius Hristov
openalex +1 more source

