Let
be an isolated plane curve singularity with Milnor fiber of genus at least
. For all
such
,
we give an intrinsic description of the geometric monodromy group that
does not invoke the notion of the versal unfolding space, and an easy
criterion to decide if a given simple closed curve in the Milnor fiber is a
vanishing cycle or not. With the lone exception of singularities of type
and
,
we find that both are determined completely by a canonical framing
of the Milnor fiber induced by the Hamiltonian vector field associated to
. As
a corollary we answer a question of Sullivan concerning the injectivity of
monodromy groups for all singularities having Milnor fiber of genus at least
.
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