Segal, E;
All autoequivalences are spherical twists.
no.
, 10
3137-.
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Abstract
In this short note we observe that, for purely formal reasons, any autoequivalence can be constructed as a twist around a spherical functor. As an example, we show how the P-twists constructed by Huybrechts and Thomas can be formulated as spherical twists.
| Type: | Article |
|---|---|
| Title: | All autoequivalences are spherical twists |
| Open access status: | An open access version is available from UCL Discovery |
| Additional information: | 11 pages at a relaxed pace. V2: Added funder acknowledgement. Published in IMRN. V3: `Proposition' 3.11 (which was only sketched) is wrong - added a counterexample due to Merlin Christ |
| Keywords: | math.AG, math.AG, math.CT, math.RA, 14F05, 18E30 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10030471 |
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