use epoxy resin (the same you would use with glass). Don't use polyester - it is a weaker material and it doesn't adhere to the carbon fibers as well. For squeezing the wetted fabric, use two layers of electrical tape. It will remove cleanly once cured.

I recently repaired my hotstick by making a jig to align the two broken pieces, then wrapping with several layers of wetted carbon (epoxy), taped with electrical tape, lightly perforated the electrical tape with a nail, and let it cure. (the perforations allow excess resin to seep out). A light sanding after removal of the vinyl tape is all that's needed.