Quot scheme and deformation quantization
Let X be a compact connected Riemann surface, and let Q ( r , d ) denote the quot scheme parametrizing the torsion quotients of O X ⊕ r of degree d . Given a projective structure P on X , we show that the cotangent bundle T ∗ U of a certain nonempty Zariski open subset U ⊂ Q ( r , d ) , equipped wit...
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| container_title | Proceedings of the Indian Academy of Sciences. Mathematical sciences |
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| creator | Biswas, Indranil |
| description | Let
X
be a compact connected Riemann surface, and let
Q
(
r
,
d
)
denote the quot scheme parametrizing the torsion quotients of
O
X
⊕
r
of degree
d
. Given a projective structure
P
on
X
, we show that the cotangent bundle
T
∗
U
of a certain nonempty Zariski open subset
U
⊂
Q
(
r
,
d
)
, equipped with the natural Liouville symplectic form, admits a canonical deformation quantization. When
r
=
1
=
d
, then
Q
(
r
,
d
)
=
X
; this case was addressed earlier in Ben-Zvi and Biswas (
Lett. Math. Phys.
54
(2000) 73–82). |
| doi_str_mv | 10.1007/s12044-024-00794-2 |
| format | Article |
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X
be a compact connected Riemann surface, and let
Q
(
r
,
d
)
denote the quot scheme parametrizing the torsion quotients of
O
X
⊕
r
of degree
d
. Given a projective structure
P
on
X
, we show that the cotangent bundle
T
∗
U
of a certain nonempty Zariski open subset
U
⊂
Q
(
r
,
d
)
, equipped with the natural Liouville symplectic form, admits a canonical deformation quantization. When
r
=
1
=
d
, then
Q
(
r
,
d
)
=
X
; this case was addressed earlier in Ben-Zvi and Biswas (
Lett. Math. Phys.
54
(2000) 73–82).</description><identifier>ISSN: 0253-4142</identifier><identifier>EISSN: 0973-7685</identifier><identifier>DOI: 10.1007/s12044-024-00794-2</identifier><language>eng</language><publisher>New Delhi: Springer India</publisher><subject>Deformation ; Mathematics ; Mathematics and Statistics ; Riemann surfaces</subject><ispartof>Proceedings of the Indian Academy of Sciences. Mathematical sciences, 2024-08, Vol.134 (2)</ispartof><rights>Indian Academy of Sciences 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-p157t-b6d4fca7549f02cf711316ffc3e87447c9b7547eb062ebe13b5ce25c3311ccfe3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s12044-024-00794-2$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s12044-024-00794-2$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Biswas, Indranil</creatorcontrib><title>Quot scheme and deformation quantization</title><title>Proceedings of the Indian Academy of Sciences. Mathematical sciences</title><addtitle>Proc Math Sci</addtitle><description>Let
X
be a compact connected Riemann surface, and let
Q
(
r
,
d
)
denote the quot scheme parametrizing the torsion quotients of
O
X
⊕
r
of degree
d
. Given a projective structure
P
on
X
, we show that the cotangent bundle
T
∗
U
of a certain nonempty Zariski open subset
U
⊂
Q
(
r
,
d
)
, equipped with the natural Liouville symplectic form, admits a canonical deformation quantization. When
r
=
1
=
d
, then
Q
(
r
,
d
)
=
X
; this case was addressed earlier in Ben-Zvi and Biswas (
Lett. Math. Phys.
54
(2000) 73–82).</description><subject>Deformation</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Riemann surfaces</subject><issn>0253-4142</issn><issn>0973-7685</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><sourceid/><recordid>eNpFkE1LxDAQhoMouK7-AU8FL16iM5l8bI6y-AULIug5tGmiXdy227QXf71xK3gYZl7mYQYexi4RbhDA3CYUICUHkQuMlVwcsQVYQ9zolTrOs1DEJUpxys5S2gKglaQX7Pp16sYi-c-wC0XZ1kUdYjfsyrHp2mI_le3YfB_COTuJ5VcKF399yd4f7t_WT3zz8vi8vtvwHpUZeaVrGX1plLQRhI8GkVDH6CmsjJTG2yrvTKhAi1AFpEr5IJQnQvQ-Blqyq_luP3T7KaTRbbtpaPNLR2C1VtZYyhTNVOqHpv0Iwz-F4H6VuFmJy0rcQYkT9APd6VOH</recordid><startdate>20240824</startdate><enddate>20240824</enddate><creator>Biswas, Indranil</creator><general>Springer India</general><general>Springer Nature B.V</general><scope/></search><sort><creationdate>20240824</creationdate><title>Quot scheme and deformation quantization</title><author>Biswas, Indranil</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-p157t-b6d4fca7549f02cf711316ffc3e87447c9b7547eb062ebe13b5ce25c3311ccfe3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><topic>Deformation</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Riemann surfaces</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Biswas, Indranil</creatorcontrib><jtitle>Proceedings of the Indian Academy of Sciences. Mathematical sciences</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Biswas, Indranil</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Quot scheme and deformation quantization</atitle><jtitle>Proceedings of the Indian Academy of Sciences. Mathematical sciences</jtitle><stitle>Proc Math Sci</stitle><date>2024-08-24</date><risdate>2024</risdate><volume>134</volume><issue>2</issue><issn>0253-4142</issn><eissn>0973-7685</eissn><abstract>Let
X
be a compact connected Riemann surface, and let
Q
(
r
,
d
)
denote the quot scheme parametrizing the torsion quotients of
O
X
⊕
r
of degree
d
. Given a projective structure
P
on
X
, we show that the cotangent bundle
T
∗
U
of a certain nonempty Zariski open subset
U
⊂
Q
(
r
,
d
)
, equipped with the natural Liouville symplectic form, admits a canonical deformation quantization. When
r
=
1
=
d
, then
Q
(
r
,
d
)
=
X
; this case was addressed earlier in Ben-Zvi and Biswas (
Lett. Math. Phys.
54
(2000) 73–82).</abstract><cop>New Delhi</cop><pub>Springer India</pub><doi>10.1007/s12044-024-00794-2</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0253-4142 |
| ispartof | Proceedings of the Indian Academy of Sciences. Mathematical sciences, 2024-08, Vol.134 (2) |
| issn | 0253-4142 0973-7685 |
| language | eng |
| recordid | cdi_proquest_journals_3096659793 |
| source | SpringerLink Journals; Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals; Indian Academy of Sciences |
| subjects | Deformation Mathematics Mathematics and Statistics Riemann surfaces |
| title | Quot scheme and deformation quantization |
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