Bent birches prompt the speaker of the poem by that name to imagine

ice storms.
a boy's been swinging on them.
people cutting them down.
the harshness of nature.

The speaker imagines the bent birches are a result of ice storms, signaling the harshness of nature and the destructive power it holds. They also envision a boy swinging on the trees, possibly adding a sense of playfulness and nostalgia to the scene. The bent birches prompt the speaker to contemplate the impact of human intervention, with thoughts of people cutting them down for various reasons. The image of the bent birches sparks a range of emotions and thoughts in the speaker, reflecting on the resilience of nature and the passage of time.