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- W3088253053 abstract "In this chapter recursion relations for intersection numbers are introduced. The starting point is a review of the fibre bundle structure of the moduli space and the behaviour of twisted cohomologies under such fibration. We introduce special classes of twisted forms having good decomposition properties, called fibration bases, which serve as bases for the expansion of more general forms. This effectively allows one to formulate recursion relations for scattering amplitudes on the moduli space by reducing the problem to a computation of intersection numbers on individual punctured spheres and gluing the results together. The matrices needed for this computation, called braid matrices, form representations of the pure braid group. The final expression involves only matrix inversion and multiplication, as well as taking one-dimensional residues." @default.
- W3088253053 created "2020-10-01" @default.
- W3088253053 creator A5076831221 @default.
- W3088253053 date "2020-01-01" @default.
- W3088253053 modified "2023-09-25" @default.
- W3088253053 title "Recursion Relations from Braid Matrices" @default.
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- W3088253053 doi "https://doi.org/10.1007/978-3-030-53010-5_3" @default.
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