The Collaborative International Dictionary of English v.0.48:
Incurrence \In*cur"rence\, n. [See Incur.] The act of incurring, bringing on, or subjecting one's self to (something troublesome or burdensome); as, the incurrence of guilt, debt, responsibility, etc. [1913 Webster]WordNet (r) 3.0 (2006):
incurrence n 1: the act of incurring (making yourself subject to something undesirable)