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A faithful linear-categorical action of the mapping class group of a surface with boundary
faithful linear-categorical action mapping class group surface with boundary
2011/1/18
We show that the action of the mapping class group on bordered Floer homology in the second to extremal spinc-structure is faithful. The paper is self-contained, and in particular does not assume any ...
In programming language semantics, it has proved to be fruitful to analyze context-dependent notions of computation, e.g.,
Concrete Foundations for Categorical Quantum Physics
Concrete Foundations Categorical Quantum Physics
2011/3/4
An original presentation of Categorical Quantum Physics, in the line of Abramsky and Coecke [10], tries to introduce only objects and assumptions that are clearly relevant to Physics and does not assu...
Polar decomposition unquestionably provides a notion of factorization in the category of Hilbert spaces. But it does not fit existing categorical notions, mainly because its factors are not closed und...
We prove that every many-sorted !-categorical theory is com-pletely interpretable in a one-sorted !-categorical theory. As an ap-plication, we give a short proof of the existence of non G–compact !-ca...
Braiding for Categorical and Crossed Lie Algebras and Simplicial Lie Algebras
Simplicial Lie Algebra Categorical Lie Algebra Crossed Modul
2010/2/26
In this work, we give the notion of braiding for categorical Lie algebras and crossed modules of Lie algebras and we give an equivalence between them.