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In Gromov–Witten theory, if the symplectic virtual fundamental classes constructed by B.Siebert satisfy functorial properties, i.e., if $f\colon X\to Y$ is an appropriate map between symplectic manifolds $X$ and $Y$, then $f_*\colon [X]^{\rm vir}\to[Y]^{\rm vir}=[Y]^{\rm vir}$? In his paper constructing symplectic GW invariant, I didn't see he mentions this, so does anyone knows anything about this? Thanks!

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AreDo the virtual fundamental classes satisfy functorial properties?

In Gromvo-Witten Gromov–Witten theory, if the symplectic virtual fundamental classes constructed by B.Siebert satisfy functorial properties,i.e.properties, i.e., if f:X --> Y $f\colon X\to Y$ is an appropriate map between symplectic manifolds X $X$ and Y, $Y$, then f_*: $f_*\colon [X]^{vir}=[Y]^{vir}? X]^{\rm vir}\to[Y]^{\rm vir}$? In his paper constructing symplectic GW invariant,I invariant, I didn't see he mentions this,so this, so does anyone knows anything about this? Thanks!

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In Gromvo-Witten theory, if the symplectic virtual fundamental classes constructed by B.Siebert satisfy functorial properties,i.e., if f:X --> Y is appropriate map between symplectic manifolds X and Y, then f_*: [X]^{vir}=[Y]^{vir}? In his paper constructing symplectic GW invariant,I didn't see he mentions this,so thaat's why I am seeking if does anyone knows anything . about this? Thanks!

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