Quantization of Bending Deformations of Polygons In , Hypergeometric Integrals and the Gassner Representation
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Bibliographic record
Abstract
Abstract The Hamiltonian potentials of the bending deformations of n-gons in studied in [KM] and [Kly] give rise to a Hamiltonian action of the Malcev Lie algebra 𝓟 n of the pure braid group P n on the moduli space M r of n -gon linkages with the side-lengths r = (r 1 , … , r n ) in . If e ∈ M r is a singular point wemay linearize the vector fields in 𝓟 n at e . This linearization yields a flat connection ∇ on the space of n distinct points on . We show that the monodromy of ∇ is the dual of a quotient of a specialized reduced Gassner representation.
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Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.004 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.001 | 0.001 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.002 | 0.000 |
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