IPFS News Link • Science
Surfaces So Different Even a Fourth Dimension Can't Make Them the Same
• arcleinLivingston, now professor emeritus at Indiana University, wondered whether the homogenizing effect of moving into four dimensions applies to all such pairs of Seifert surfaces, or whether there are some that hold on to their uniqueness. The new work identifies the first pair of Seifert surfaces that are as provably distinct from each other in four dimensions as they are in three. It also goes a step further, identifying additional pairs of Seifert surfaces that become alike in some ways but not in others, thereby elucidating the subtle complexities of four-dimensional space.




