  We give a self-contained proof of a formula computing the Fredholm index for
asymptotically non-degenerate Cauchy-Riemann operators on surfaces with
boundary punctures using the method of large antilinear deformations. This
method for computing the index was introduced in the case of closed surfaces by
Taubes and generalized to the case with interior punctures by Gerig. One novel
feature arising from our proof is that the Euler characteristic term in the
index formula involves a non-standard weighted count of boundary zeros. We hope
that this formulation of the index formula will be useful to other researchers.
