Sever the Hedron Links is the tenth main quest in Control Resonant, and it opens the moment you finish The Hedron Link. After Dylan destroys the first link, two more have crashed into the Patterned city floating above the Oldest House, and both need to be cut off inside the Unknown.
Quick answer: Return to the Oldest House, take Roof Access to the Unknown, deploy all eight Probe Relays for Pope’s Research, then beat the Hedron Factor and Hedron Proxy bosses to sever both links.

Get back to the Unknown from the Oldest House
The quest begins at the Oldest House in Downtown. Take the elevator one floor above Pope and select Roof Access; it brings you to the rooftop entrance you used earlier to reach the Unknown.
On arrival, activate the Oldest House Rooftop fast-travel point, the door to your left. This saves time on all future trips, and the first research balloon you need is nearby.
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Both links stay out of reach until you clear the Pope’s Research side mission. It sends you hunting balloons scattered across the Unknown, and each balloon lets you obtain a Probe Relay.
There are eight Probe Relays to deploy in total. Placing one creates a Gravity Well that carries you to the next floating island. Keep chaining those Gravity Wells and dropping relays until every area is reachable, then the main quest continues.

Sever the first link near the Patterned Evac Building

Sever the second link near the Patterned Field Office

How to confirm the quest is complete
Defeating the Hedron Proxy destroys the second link. With both links cut, Sever the Hedron Links registers as complete in your quest log, and Dylan is free to move on to the next main mission.






