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Non-isotopic surfaces in $T^4\#(S^2\times S^2)$: an example

Lin, Jianfeng et al.
arXiv (All) · Papers
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geometric-topology
We prove that there exist infinitely many embedded tori with a common geometric dual in $T^4\#(S^2\times S^2)$ that are homotopic, diffeomorphic, but not isotopic to each other, even after arbitrary many external stabilizations. These surfaces are obtained by applying the Norman trick to a fixed imm
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