Constructs non-unital monoidal category of contact manifolds and Legendrian correspondence calculus
arXiv research
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Abstract: Generalizes multisymplectic forms to vector-valued versions.
The underlying stochastic nature of the requirements for the Solvency II regulations has introduced significant challenges if the required calculations are to be performed correctly, without resorting to excessive approximations, within practical timescales. It is generally acknowledged by practising actuaries within U…
This work reveals symmetries in quantum circuits and develops a noise-aware optimization method.
We show that the set of augmentations of the Chekanov-Eliashberg algebra of a Legendrian link underlies the structure of a unital A-infinity category. This differs from the non-unital category constructed in [BC], but is related to it in the same way that cohomology is related to compactly supported cohomology. The exi…
Study rigid classes on hyperkahler manifolds, showing general ones are rigid.
Functor connects Lie groupoid algebras to bornological structures.
New superintegrable systems derived from Frobenius structures.
A string-net model associates a vector space to a surface in terms of graphs decorated by objects and morphisms of a pivotal fusion category modulo local relations. String-net models are usually considered for spherical fusion categories, and in this case the vector spaces agree with the state spaces of the correspondi…
Characterizes algebraic squares of irreducible complex spinors in various dimensions.