Given a smooth projective variety
and a smooth divisor
,
we study relative Gromov–Witten invariants of
and the corresponding orbifold Gromov–Witten invariants of the
root stack
. For sufficiently
large
,
we prove that orbifold Gromov–Witten invariants of
are
polynomials in
.
Moreover, higher-genus relative Gromov–Witten invariants of
are exactly
the constant terms of the corresponding higher-genus orbifold Gromov–Witten invariants
of
. We also
provide a new proof for the equality between genus-zero relative and orbifold Gromov–Witten
invariants, originally proved by Abramovich, Cadman and Wise (2017). When
is sufficiently
large and
is a curve, we prove that stationary relative invariants of
are
equal to the stationary orbifold invariants in all genera.
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