This is also why you have a bunch of graphically intense games on the Play store which are Tegra-exclusives, from developers who cut a deal with nVidia. For example Arma Tactics.
I don't think anyone will want to produce exactly an nVidia chip, most likely the idea is that other vendors would want to integrate an nVidia GPU core on their mobile SoC (Kepler as an architecture is supposed to scale from mobile to cluster computing sizes) - perhaps Qualcomm or Apple, or hell, maybe even AMD now that they're starting to put out ARM chips. Heck, it'd be pretty interesting if Intel put integrated Geforce cores on their next gen CPUs, at least as an option. Although most likely neither AMD nor Intel would bother since they've got their own fairly strong mobile GPU architectures now and figuring out how to integrate an nVidia core would probably be more work for dubious gain.
NVIDIA GPUs are fabricated by TSMC (Taiwan Semiconductor Manufacturing Company). NVIDIA never owned its own fab. The only difference is that now instead of keeping their IP cores secret they are willing to license them for a (probably huge) fee. Whoever licenses the core would probably also use TSMC for fabrication.