%0 Journal Article %T Galaxy And Mass Assembly (GAMA): The galaxy luminosity function within the cosmic web %A E. Eardley %A J. A. Peacock %A T. McNaught-Roberts %A C. Heymans %A P. Norberg %A M. Alpaslan %A I. Baldry %A J. Bland-Hawthorn %A S. Brough %A M. E. Cluver %A S. P. Driver %A D. J. Farrow %A J. Liske %A J. Loveday %A A. S. G. Robotham %J Physics %D 2014 %I arXiv %R 10.1093/mnras/stv237 %X We investigate the dependence of the galaxy luminosity function on geometric environment within the Galaxy And Mass Assembly (GAMA) survey. The tidal tensor prescription, based on the Hessian of the pseudo-gravitational potential, is used to classify the cosmic web and define the geometric environments: for a given smoothing scale, we classify every position of the surveyed region, $0.04<{z}<0.26$, as either a void, a sheet, a filament or a knot. We consider how to choose appropriate thresholds in the eigenvalues of the Hessian in order to partition the galaxies approximately evenly between environments. We find a significant variation in the luminosity function of galaxies between different geometric environments; the normalisation, characterised by $\phi^{*}$ in a Schechter function fit, increases by an order of magnitude from voids to knots. The turnover magnitude, characterised by $M^*$, brightens by approximately $0.5$ mag from voids to knots. However, we show that the observed modulation can be entirely attributed to the indirect local-density dependence. We therefore find no evidence of a direct influence of the cosmic web on the galaxy luminosity function. %U http://arxiv.org/abs/1412.2141v1