Results 1 to 10 of about 13,905 (109)
Universal quadratic forms and Whitney tower intersection invariants [PDF]
The first part of this paper exposits a simple geometric description of the Kirby-Siebenmann invariant of a 4--manifold in terms of a quadratic refinement of its intersection form.
Donaldson +4 more
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Quadratic forms and linear algebraic groups [PDF]
Topics discussed at the workshop Quadratic Forms and Linear Algebraic Groups included besides the algebraic theory of quadratic and Hermitian forms and their Witt groups several aspects of the theory of linear algebraic groups and homogeneous varieties ...
Harbater, David +2 more
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Unimodular homotopy algebras and Chern-Simons theory [PDF]
Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infinity) algebra g, the vector space H^*(M) \otimes g has the structure of an ...
Braun, Christopher, Lazarev, Andrey
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A new construction of Moufang quadrangles of type E6, E7 and E8 [PDF]
In the classification of Moufang polygons by J. Tits and R. Weiss, the most intricate case is by far the case of the exceptional Moufang quadrangles of type E6, E7 and E8, and in fact, the construction that they present is ad-hoc and lacking a deeper ...
Boelaert, Lien, De Medts, Tom
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A Self-Dual Integral Form of the Moonshine Module [PDF]
We construct a self-dual integral form of the moonshine vertex operator algebra, and show that it has symmetries given by the Fischer-Griess monster simple group.
Carnahan, Scott
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Factor-Group-Generated Polar Spaces and (Multi-)Qudits [PDF]
Recently, a number of interesting relations have been discovered between generalised Pauli/Dirac groups and certain finite geometries. Here, we succeeded in finding a general unifying framework for all these relations.
Havlicek, Hans +2 more
core +9 more sources
There is a intriguing relation between quantum information theory and super gravity, discovered by M.J. Duff and S. Ferrara. It relates entanglement measures for qubits to black hole entropy, which in a certain case involves the quartic invariant on the ...
Cerchiai, Bianca L., van Geemen, Bert
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Quasi-classical Lie algebras and their contractions [PDF]
After classifying indecomposable quasi-classical Lie algebras in low dimension, and showing the existence of non-reductive stable quasi-classical Lie algebras, we focus on the problem of obtaining sufficient conditions for a quasi-classical Lie algebras ...
A. Das +29 more
core +2 more sources
Operads and moduli spaces of genus $0$ Riemann surfaces
We study a pair of dual operads which arise in the study of moduli spaces of pointed genus 0 curves (this duality is similar to that between commutative and Lie algebras).
Getzler, Ezra
core +3 more sources
On choice of preconditioner for minimum residual methods for nonsymmetric matrices [PDF]
Existing convergence bounds for Krylov subspace methods such as GMRES for nonsymmetric linear systems give little mathematical guidance for the choice of preconditioner.
Pestana, Jennifer, Wathen, A. J.
core

