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removed the knot-theory tag and added the 4-manifold tag, which seemed more appropriate
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Marco Golla
Marco Golla
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added 126 characters in body
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Student
Student
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TLDR I want to see more examples of exotic $4$-manifold (hopefully connected, simply connected, oriented, and closed).

Are there known presentations of $4$-manifolds $M$ with exotic structures, whether in terms of Kirby linky data, PL-triangulations, or any other constructions? There are a few given in Akbulut's book [1], but they are $4$-manifolds with boundaries.

Mainly, I am looking for those $M$ that are oriented, connected, simply-connected and closed. But really, any pointers to any example with exotic smooth structures are appreciated.

[1] 4-Manifolds - Selman Akbulut

Are there known presentations of $4$-manifolds $M$ with exotic structures, whether in terms of Kirby linky data, PL-triangulations, or any other constructions? There are a few given in Akbulut's book [1], but they are $4$-manifolds with boundaries.

Mainly, I am looking for those $M$ that are oriented, connected, simply-connected and closed. But really, any pointers to any example with exotic smooth structures are appreciated.

[1] 4-Manifolds - Selman Akbulut

TLDR I want to see more examples of exotic $4$-manifold (hopefully connected, simply connected, oriented, and closed).

Are there known presentations of $4$-manifolds $M$ with exotic structures, whether in terms of Kirby linky data, PL-triangulations, or any other constructions? There are a few given in Akbulut's book [1], but they are $4$-manifolds with boundaries.

Mainly, I am looking for those $M$ that are oriented, connected, simply-connected and closed. But really, any pointers to any example with exotic smooth structures are appreciated.

[1] 4-Manifolds - Selman Akbulut

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Student
Student
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Presentations of exotic 4-manifolds

Are there known presentations of $4$-manifolds $M$ with exotic structures, whether in terms of Kirby linky data, PL-triangulations, or any other constructions? There are a few given in Akbulut's book [1], but they are $4$-manifolds with boundaries.

Mainly, I am looking for those $M$ that are oriented, connected, simply-connected and closed. But really, any pointers to any example with exotic smooth structures are appreciated.

[1] 4-Manifolds - Selman Akbulut