Daniela Galárraga-Espinosa, Guinevere Kauffmann, Silvia Bonoli, Luisa Lucie-Smith, Rosa M. González Delgado, Elmo Tempel, Raul Abramo, Siddharta Gurung-López, Valerio Marra, Jailson Alcaniz, Narciso Benitez, Saulo Carneiro, Javier Cenarro, David Cristóbal-Hornillos, Renato Dupke, Alessandro Ederoclite, Antonio Hernán-Caballero, Carlos Hernández-Monteagudo, Carlos López-Sanjuan, Antonio Marín-Franch, Claudia Mendes de Oliveira, Mariano Moles, Laerte Sodré Jr, Keith Taylor, Jesús Varela, Hector Vázquez Ramió

We present the first statistical observational study detecting small-scale filaments in the immediate surroundings of galaxies, i.e. the local web of galaxies. Simulations predict that cold gas, the fuel for star formation, is channeled through filamentary structures into galaxies. Yet, direct observational evidence for this process has been limited by the challenge of mapping the cosmic web at small scales. Using miniJPAS spectro-photometric data combined with spectroscopic DESI redshifts when available, we construct a high-density observational galaxy sample spanning 0.2<z<0.8. Local filaments are detected within a 3 Mpc physical radius of each galaxy with stellar mass M* $> 10^9$ $\mathrm{M}_\odot$, using other nearby galaxies as tracers and a probabilistic adaptation of the DisPerSE algorithm, designed to overcome limitations due to photometric redshift uncertainties. Our methodology is tested and validated using mock catalogues built with random forest models and reference lightcone simulations. We recover the expected increase in galaxy connectivity, defined as the number of filaments attached to a galaxy, with stellar mass. Interestingly, we find a persistent correlation between connectivity and star formation in medium mass galaxies (M* $= 10^{10-11}$ $\mathrm{M}_\odot$) in the low redshift bins. These results are consistent with the cosmic web detachment scenario, suggesting that reduced connectivity to local filaments hinders the inflow of star-forming material. We propose galaxy connectivity to local (small-scale) filaments as a powerful and physically motivated metric of environment, offering new insights into the role of cosmic structure in galaxy evolution.