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ACTION OF THE JOHNSON-TORELLI GROUP ON REPRESENTATION VARIETIES
JOHNSON-TORELLI mapping class group
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2015/9/29
Let Σ be a compact orientable surface with genus g and n boundary components B = (B1,...,Bn). Let c = (c1,...,cn) ∈ [−2,2]n. Then the
mapping class group MCG of Σ acts on the relative SU(2)-cha...
List-decoding of binary Goppa codes up to the binary Johnson bound
Error correcting codes, algebraic geometric codes list-decoding
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2011/2/21
We study the list-decoding problem of alternant codes, with the notable case of classical Goppa codes. The major consideration here is to take into account the size of the alphabet, which shows great ...
New series in the Johnson cokernels of the mapping class groups of surfaces
New series Johnson cokernels mapping class groups of surfaces
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2011/1/20
Let g,1 be a compact oriented surface of genus g with one boundary component,andMg,1 its mapping class group. Morita showed that the image of the k-th Johnson homomorphism M
k of Mg,1 is contained ...
Automorphisms of infinite Johnson graph
infinite Johnson graph math
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2010/11/17
We consider the {\it infinite Johnson graph} $J_{\infty}$ whose vertex set consists of all subsets $X\subset {\mathbb N}$ satisfying $|X|=|{\mathbb N}\setminus X|=\infty$ and whose edges are pairs of...
New and improved Johnson-Lindenstrauss embeddings via the Restricted Isometry Property
New improved Johnson-Lindenstrauss embeddings Restricted Isometry Property
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2010/11/29
Consider an m×N matrix with the Restricted Isometry Property of order k and level δ, that is, the norm of any k-sparse vector in RN is preserved to within a multiplicative factor of 1±δ under applic...