The bicomplex Bergman spaces are studied for any bounded bicomplex domain.
Its Bergman kernel is computed in terms of the kernels of the complex
projections of the domain. We also introduce two additional reproducing kernel
Hilbert spaces a...
Batalin-Vilkovisky structure on Hochschild cohomology with coefficients
in the dual algebra
October 30, 2018
| | |
Mathematics
K-Theory and Homology
K-Theory and Homology
We prove that Hochschild cohomology with coefficients in A^*=\Hom_k(A,k)
under conditions on the algebra structure of A∗ is a Batalin-Vilkovisky
algebra. We also show that for symmetric and Frobenius algebras, this recovers
the known B...
Signal Formation in THGEM-like Detectors
October 30, 2018
| | | | |
Physics
Instrumentation and Detectors
Instrumentation and Detectors
Numerical simulations were used to study signal formation in a Thick Gaseous
Electron Multiplier (THGEM) and in THGEM -based Thick-WELL (THWELL) and
Resistive-Plate WELL (RPWELL) detectors. The signal shapes were simulated in
mixtures of Ar...
Contextual Hourglass Network for Semantic Segmentation of High
Resolution Aerial Imagery
October 30, 2018
| |
Computer Science
Computer Vision and Pattern Recognition
Semantic segmentation for aerial imagery is a challenging and important
problem in remotely sensed imagery analysis. In recent years, with the success
of deep learning, various convolutional neural network (CNN) based models have
been devel...
Cylinder maps of algebraic cycles on cubic hypersurfaces
October 29, 2018
|
Mathematics
Algebraic Geometry
Algebraic Geometry
Let X⊂Pn+1 be a smooth cubic hypersurface, and let
F(X) be the variety of lines on X. We prove the surjectivity of the
cylinder maps on the Chow groups of F(X) and X under a mild condition
on one-cycle...
Ball Lightning as a Hot, Highly Charged, Sphere of Air
October 29, 2018
|
Physics
Plasma Physics
Plasma Physics
An exceptionally simple model of ball lightning is proposed that describes it
as a highly charged sphere of hot, conductive, air surrounded by colder air.
This conductive sphere possesses a net excess of charge. This charge will
create a co...
Large AdS black holes from QFT
October 29, 2018
| | |
Physics
High Energy Physics - Theory
We study the index of N=4 Yang-Mills theory on
S3×R at large angular momenta. A generalized Cardy limit
exhibits macroscopic entropy at large N. Our result is derived using free QFT
analysis, and also a backgr...
Coherent cohomology of Shimura varieties and automorphic forms
October 29, 2018
Mathematics
Number Theory
Algebraic Geometry
We show that the cohomology of canonical extensions of automorphic vector
bundles over toroidal compactifications of Shimura varieties can be computed by
relative Lie algebra cohomology of automorphic forms. Our result is inspired by
and pa...
Tamely ramified geometric Langlands correspondence in positive
characteristic
October 29, 2018
Mathematics
Algebraic Geometry
Representation Theory
We prove a version of the tamely ramified geometric Langlands correspondence
in positive characteristic for GLn(k). Let k be an algebraically closed
field of characteristic p>n. Let X be a smooth projective curve over k
with mar...
A set-theoretic analysis of the black hole entropy puzzle
October 29, 2018
Physics
General Physics
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Motivated by the known mathematical and physical problems arising from the
current mathematical formalization of the physical spatio-temporal continuum,
as a substantial technical clarification of our earlier attempt, the aim in
this paper ...