Timeline for Presentations of exotic 4-manifolds
Current License: CC BY-SA 4.0
13 events
| when toggle format | what | by | license | comment | |
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| Mar 6 at 3:08 | answer | added | rab | timeline score: 5 | |
| Nov 17, 2021 at 9:20 | history | edited | Marco Golla |
removed the knot-theory tag and added the 4-manifold tag, which seemed more appropriate
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| Nov 15, 2021 at 1:09 | comment | added | Anubhav Mukherjee | @Student yup, research on "exotic" 4-manifold topology is an wide open field. You may find some lecture notes where some examples are compiled together. (I cannot think of one top off my head right now.) | |
| Nov 15, 2021 at 0:58 | comment | added | Student | @AnubhavMukherjee I see.. thanks for your comment. I think I asked the question badly.. My impression when I was looking for examples is that they seem scattered around, and it seems hard to find a place where many examples are compiled together. It's good to know that not many examples are known yet. | |
| Nov 14, 2021 at 19:32 | answer | added | Marco Golla | timeline score: 10 | |
| Nov 14, 2021 at 18:03 | comment | added | Anubhav Mukherjee | @Student As I said, try to google those key words and you will find various papers. But not many examples are known. We possibly only know the tip of the iceberg (maybe not even that). | |
| Nov 14, 2021 at 11:14 | history | edited | Student | CC BY-SA 4.0 |
added 126 characters in body
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| Nov 14, 2021 at 11:13 | comment | added | Student | @AnubhavMukherjee I want to see more examples of exotic $4$-manifolds.. sorry my original post is mouthful. | |
| Nov 14, 2021 at 8:18 | review | Close votes | |||
| Nov 19, 2021 at 3:07 | |||||
| Nov 14, 2021 at 8:02 | comment | added | Ryan Budney | I believe the answer to the OP's question is "yes". But the question is fairly non-specific. 4-manifolds with "exotic" structures exist, so certainly they are presented in various ways, by various sources. | |
| Nov 14, 2021 at 4:48 | comment | added | Anubhav Mukherjee | BTW I still found your question a little confusing. What exactly do you want to know? | |
| Nov 14, 2021 at 3:58 | comment | added | Anubhav Mukherjee | Mainly using gauge theoretic invariants one can detect such 4-manifolds ( Akbulut's book is great source). In my best knowledge, knot surgery, rational blow down and cork-twists are possibly only known techniques to obtain something exotic. If you search those key words in google, you may find more sources to read. | |
| Nov 14, 2021 at 0:57 | history | asked | Student | CC BY-SA 4.0 |