On the integral of $\log x\frac{dy}{y}-\log y\frac{dx}{x}$ over the A-polynomial curves

Simple item page
dc.creatorKhoi, Vu the
dc.date2008-11-17
dc.date.accessioned2026-07-07T10:18:52Z
dc.date.available2026-07-07T10:18:52Z
dc.descriptionIn this note, we study the integral of the 1-form $\log x\frac{dy}{y}-\log y\frac{dx}{x}$ over certain plane curves defined by A-polynomials of knots. It is quite surprising that a Chern-Simons type invariant of 3-manifolds, which can be geometrically computed, may be used to get the exact values of those integrals. The arithmetic nature of these integrals is still unknown at the moment and deserved further investigation.
dc.descriptionTo appear in the Proceedings of the International Conference on Quantum Topology
dc.identifierhttps://arxiv.org/abs/0811.2725
dc.identifierhttp://arxiv.org/abs/0811.2725
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174340
dc.subjectGeometric Topology
dc.subject57M27; 57M05
dc.titleOn the integral of $\log x\frac{dy}{y}-\log y\frac{dx}{x}$ over the A-polynomial curves
dc.typetext

Files

Collections

arXiv