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Dmitrii Ivanov
Dmitrii Ivanov
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I am interested in understanding the smooth homotopyisotopy class of embedded 2-tori in $S^1\times S^4$. Is it true that every two homotopic embedded 2-tori in $S^1\times S^4$ are smoothly homotopicisotopic? It would be great if there is a certain analogue of Haefliger's theorem in these settings...

I am interested in understanding the smooth homotopy class of embedded 2-tori in $S^1\times S^4$. Is it true that every two embedded 2-tori in $S^1\times S^4$ are smoothly homotopic? It would be great if there is a certain analogue of Haefliger's theorem in these settings...

I am interested in understanding the smooth isotopy class of embedded 2-tori in $S^1\times S^4$. Is it true that every two homotopic embedded 2-tori in $S^1\times S^4$ are smoothly isotopic? It would be great if there is a certain analogue of Haefliger's theorem in these settings...

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Dmitrii Ivanov
Dmitrii Ivanov
  • 129
  • 3

Embedded 2-tori in $S^1\times S^4$

I am interested in understanding the smooth homotopy class of embedded 2-tori in $S^1\times S^4$. Is it true that every two embedded 2-tori in $S^1\times S^4$ are smoothly homotopic? It would be great if there is a certain analogue of Haefliger's theorem in these settings...