Opened 4 years ago

Closed 4 years ago

#27392 closed enhancement (fixed)

the omega-signature of knots and links

Reported by: Frédéric Chapoton Owned by:
Priority: major Milestone: sage-8.7
Component: geometry Keywords: knots
Cc: Miguel Marco, Samuel Lelièvre, Travis Scrimshaw Merged in:
Authors: Frédéric Chapoton Reviewers: Travis Scrimshaw
Report Upstream: N/A Work issues:
Branch: 4ed1cc8 (Commits, GitHub, GitLab) Commit: 4ed1cc8c9522b0730490d500de31951fe84f5699
Dependencies: Stopgaps:

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Description

as a small variant of the signature, the omega-signature is a function of omega in S1, piecewise constant on S1

Change History (8)

comment:1 Changed 4 years ago by Frédéric Chapoton

Branch: u/chapoton/27392
Commit: cd94b92f47648b69508d03adcab289bef8192855
Status: newneeds_review

New commits:

cd94b92provide the omega-signature of knots and links

comment:2 Changed 4 years ago by Frédéric Chapoton

Cc: Miguel Marco Samuel Lelièvre Travis Scrimshaw added
Keywords: knots added

green bot, please review

comment:3 Changed 4 years ago by Travis Scrimshaw

Reviewers: Travis Scrimshaw

The definition is a little awkward in English to me. I would write

        This is defined as the signature of the symmetric matrix

        .. MATH::

             V + V^{t},

        where `V` is the :meth:`Seifert matrix <seifert_matrix>`.

Another option would be a separate initial sentence Let `V` be the :meth:`Seifert matrix <seifert_matrix>`.

Otherwise LGTM.

comment:4 Changed 4 years ago by git

Commit: cd94b92f47648b69508d03adcab289bef81928554ed1cc8c9522b0730490d500de31951fe84f5699

Branch pushed to git repo; I updated commit sha1. New commits:

4ed1cc8trac 27392 better English for the doc, plus other details

comment:5 Changed 4 years ago by Frédéric Chapoton

Done.

Many thanks for still taking the time to review my many tickets, and sorry for the rough English.

comment:6 Changed 4 years ago by Travis Scrimshaw

Thank you. No problem. A lot of these tickets are fairly easy to review (with the patchbot). For those sentences, I was thinking it might have been a natural construct in French :).

comment:7 Changed 4 years ago by Travis Scrimshaw

Status: needs_reviewpositive_review

comment:8 Changed 4 years ago by Volker Braun

Branch: u/chapoton/273924ed1cc8c9522b0730490d500de31951fe84f5699
Resolution: fixed
Status: positive_reviewclosed
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