https://quantamagazine.org/special-surfaces-remain-distinct-in-four-dimensions-20220616/
It includes an image of two surfaces whose boundary is the same knot, but which cannot be deformed into each other when embedded in either 3 or 4 dimensions.
Greg Egan on Nostr: If you listen to the latest “Joy of Why” podcast, where the guest is topologist ...
If you listen to the latest “Joy of Why” podcast, where the guest is topologist Maggie Miller, it will help a lot if you first read this Quanta Magazine (npub10v3…3j5v) article on Miller’s work on Seifert surfaces:
https://quantamagazine.org/special-surfaces-remain-distinct-in-four-dimensions-20220616/
It includes an image of two surfaces whose boundary is the same knot, but which cannot be deformed into each other when embedded in either 3 or 4 dimensions.
https://quantamagazine.org/special-surfaces-remain-distinct-in-four-dimensions-20220616/
It includes an image of two surfaces whose boundary is the same knot, but which cannot be deformed into each other when embedded in either 3 or 4 dimensions.