La formule des traces pour les rev\^etements de groupes r\'eductifs
connexes. II. Analyse harmonique locale
July 10, 2011
Mathematics
Representation Theory
We establish some results in local harmonic analysis which are necessary for
Arthur's invariant trace formula for coverings of connected reductive groups.
More precisely, for local coverings we will study (1) the Plancherel formula
and its ...
Some scales in neutrino physics
June 28, 2011
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Physics
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology
The problem of an active neutrinos mass origin is considered at the
phenomenological level. At first an assumption is made that neutrino mass
values depend on two contributions with their characteristic scales, a next
assumption consists in...
Quantum cohomology of twistor spaces and their Lagrangian submanifolds
June 20, 2011
Mathematics
Symplectic Geometry
Differential Geometry
We compute the classical and quantum cohomology rings of the twistor spaces
of 6-dimensional hyperbolic manifolds and the eigenvalues of quantum
multiplication by the first Chern class. Given a half-dimensional totally
geodesic submanifold ...
Notes characterising higher and derived stacks concretely
May 24, 2011
Mathematics
Algebraic Geometry
Algebraic Topology
This is an informal summary of the main concepts in arXiv:0905.4044, based on
notes of various seminars. It gives constructions of higher and derived stacks
without recourse to the extensive theory developed by Toen, Vezzosi and Lurie.
Expl...
The lepton flavor violating decays Z→lilj in the simplest little
Higgs model
April 18, 2011
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Physics
High Energy Physics - Phenomenology
In the simplest little Higgs model the new flavor-changing interactions
between heavy neutrinos and the Standard Model leptons can generate
contributions to some lepton flavor violating decays of Z-boson at one-loop
level, such as $Z \to ...
On Direct Product and Quotient of Strongly Connected Automata
April 17, 2011
Computer Science
Mathematics
Formal Languages and Automata Theory
Group Theory
Let A×B be the direct product of a strongly connected
permutation automaton A and a strongly connected synchronizing (reset)
automaton B, then A×B is strongly connected and $$\boldsymbol{A
\cong (A \times B)/\p...
A Simplified and Improved Free-Variable Framework for Hilbert's epsilon
as an Operator of Indefinite Committed Choice
April 13, 2011
Computer Science
Mathematics
Artificial Intelligence
Logic
Free variables occur frequently in mathematics and computer science with ad
hoc and altering semantics. We present the most recent version of our
free-variable framework for two-valued logics with properly improved
functionality, but only t...
Wiring Switches to Light Bulbs
January 25, 2011
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Mathematics
Combinatorics
Given n buttons and n bulbs so that the ith button toggles the ith bulb and
at most two other bulbs, we compute the sharp lower bound on the number of
bulbs that can be lit regardless of the action of the buttons....
From coloured gravity to electromagnetism
December 21, 2010
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Physics
General Relativity and Quantum Cosmology
The gauge formalism in telepalallel gravity provides an interesting viewpoint
to describe interactions according to an anholonomic observer's tetrad basis.
Without going into assessing the complete viability of quantization in an early
stag...
Rationality of instanton moduli
December 18, 2010
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Mathematics
Algebraic Geometry
Tikhomirov (2009) proved the irreducibility of the moduli space of
mathematical instantons on the projective 3-space for all odd charges. The
irreducibility for charges between 1 and 5 was known before. In the present
paper, the rationality...