Dehn Surgery Presentation of the Figure Eight Knot Complement
Clash Royale CLAN TAG#URR8PPP
up vote
0
down vote
favorite
If $K$ is a figure eight knot how can I realize $S^3-K$ as a Dehn filling on a genus $g$ handle-body?
I had the simplistic thought that a genus 5 handle-body and a (5,1) Dehn filling would do the trick but the more I study low dimensional topology the more I realize how little I know.
EDIT: Funny story. I think I did it correct now based on the documentation I found here on page 7. 'M7' from that document is how I presented the figure 8 knot complement.
manifolds knot-theory low-dimensional-topology mapping-class-group
asked Aug 21 at 9:17
Bob
53739
add a comment |Â
up vote
0
down vote
favorite
If $K$ is a figure eight knot how can I realize $S^3-K$ as a Dehn filling on a genus $g$ handle-body?
I had the simplistic thought that a genus 5 handle-body and a (5,1) Dehn filling would do the trick but the more I study low dimensional topology the more I realize how little I know.
EDIT: Funny story. I think I did it correct now based on the documentation I found here on page 7. 'M7' from that document is how I presented the figure 8 knot complement.
manifolds knot-theory low-dimensional-topology mapping-class-group
asked Aug 21 at 9:17
Bob
53739
add a comment |Â
up vote
0
down vote
favorite
up vote
0
down vote
favorite
If $K$ is a figure eight knot how can I realize $S^3-K$ as a Dehn filling on a genus $g$ handle-body?
I had the simplistic thought that a genus 5 handle-body and a (5,1) Dehn filling would do the trick but the more I study low dimensional topology the more I realize how little I know.
EDIT: Funny story. I think I did it correct now based on the documentation I found here on page 7. 'M7' from that document is how I presented the figure 8 knot complement.
manifolds knot-theory low-dimensional-topology mapping-class-group
asked Aug 21 at 9:17
Bob
53739
If $K$ is a figure eight knot how can I realize $S^3-K$ as a Dehn filling on a genus $g$ handle-body?
I had the simplistic thought that a genus 5 handle-body and a (5,1) Dehn filling would do the trick but the more I study low dimensional topology the more I realize how little I know.
EDIT: Funny story. I think I did it correct now based on the documentation I found here on page 7. 'M7' from that document is how I presented the figure 8 knot complement.
manifolds knot-theory low-dimensional-topology mapping-class-group
asked Aug 21 at 9:17
Bob
53739
edited Aug 21 at 18:03
asked Aug 21 at 9:17
Bob
53739
asked Aug 21 at 9:17
Bob
53739
asked Aug 21 at 9:17
Bob
53739
53739
add a comment |Â
add a comment |Â
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
StackExchange.ready(
function ()
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f2889658%2fdehn-surgery-presentation-of-the-figure-eight-knot-complement%23new-answer', 'question_page');
);
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Sign up or log in
StackExchange.ready(function ()
StackExchange.helpers.onClickDraftSave('#login-link');
);
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
