  In this paper, we introduce a notion of twisted restricted conformal blocks
on totally ramified orbicurves and establish an isomorphism between the space
of twisted restricted conformal blocks and the space of twisted conformal
blocks. The relationships among twisted (restricted) conformal blocks,
$g$-twisted (restricted) correlation functions, and twisted intertwining
operators are explored. Furthermore, by introducing a geometric generalization
of Zhu's algebra and its modules, we obtain a description of the space of
coinvariants by modules over associative algebras and show it is
finite-dimensional under some conditions. In particular, a more conceptual
proof of the $g$-twisted fusion rules theorem in vertex operator algebra theory
is provided.
