Elliptic stable envelopes and hypertoric loop spaces
Abstract This paper describes a relation between the elliptic stable envelopes of a hypertoric variety $$X$$ X and a distinguished K-theory...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer International Publishing
2023
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| Online Access: | https://hdl.handle.net/1721.1/152337 |
| _version_ | 1824457975364845568 |
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| author | McBreen, Michael Sheshmani, Artan Yau, Shing-Tung |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics McBreen, Michael Sheshmani, Artan Yau, Shing-Tung |
| author_sort | McBreen, Michael |
| collection | MIT |
| description | Abstract
This paper describes a relation between the elliptic stable envelopes of a hypertoric variety
$$X$$
X
and a distinguished K-theory class on the product of the loop hypertoric space
$$\widetilde{\mathscr {L}}X$$
L
~
X
and its symplectic dual
$$\mathscr {P}X^!$$
P
X
!
. This class intertwines the K-theoretic stable envelopes in a certain limit. Our results are suggestive of a possible categorification of elliptic stable envelopes. |
| first_indexed | 2024-09-23T09:59:27Z |
| format | Article |
| id | mit-1721.1/152337 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2025-02-19T04:18:32Z |
| publishDate | 2023 |
| publisher | Springer International Publishing |
| record_format | dspace |
| spelling | mit-1721.1/1523372024-12-23T05:17:39Z Elliptic stable envelopes and hypertoric loop spaces McBreen, Michael Sheshmani, Artan Yau, Shing-Tung Massachusetts Institute of Technology. Department of Mathematics Abstract This paper describes a relation between the elliptic stable envelopes of a hypertoric variety $$X$$ X and a distinguished K-theory class on the product of the loop hypertoric space $$\widetilde{\mathscr {L}}X$$ L ~ X and its symplectic dual $$\mathscr {P}X^!$$ P X ! . This class intertwines the K-theoretic stable envelopes in a certain limit. Our results are suggestive of a possible categorification of elliptic stable envelopes. 2023-10-03T15:37:13Z 2023-10-03T15:37:13Z 2023-09-27 2023-09-28T03:25:09Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/152337 Selecta Mathematica. 2023 Sep 27;29(5):73 en https://doi.org/10.1007/s00029-023-00876-5 Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. The Author(s), under exclusive licence to Springer Nature Switzerland AG application/pdf Springer International Publishing Springer International Publishing |
| spellingShingle | McBreen, Michael Sheshmani, Artan Yau, Shing-Tung Elliptic stable envelopes and hypertoric loop spaces |
| title | Elliptic stable envelopes and hypertoric loop spaces |
| title_full | Elliptic stable envelopes and hypertoric loop spaces |
| title_fullStr | Elliptic stable envelopes and hypertoric loop spaces |
| title_full_unstemmed | Elliptic stable envelopes and hypertoric loop spaces |
| title_short | Elliptic stable envelopes and hypertoric loop spaces |
| title_sort | elliptic stable envelopes and hypertoric loop spaces |
| url | https://hdl.handle.net/1721.1/152337 |
| work_keys_str_mv | AT mcbreenmichael ellipticstableenvelopesandhypertoricloopspaces AT sheshmaniartan ellipticstableenvelopesandhypertoricloopspaces AT yaushingtung ellipticstableenvelopesandhypertoricloopspaces |