THE MODULI SPACE OF STABLE RANK 2 PARABOLIC BUNDLES OVER AN ELLIPTIC CURVE WITH 3 MARKED POINTS

David Boozer

doi:10.1090/proc/15996

THE MODULI SPACE OF STABLE RANK 2 PARABOLIC BUNDLES OVER AN ELLIPTIC CURVE WITH 3 MARKED POINTS

David Boozer

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We explicitly describe the moduli space M^s(X,3) of stable rank 2 parabolic bundles over an elliptic curve X with trivial determinant bundle and 3 marked points. Specifically, we exhibit M^s(X,3) as a blow-up of an embedded elliptic curve in (CP¹)³. The moduli space M^s(X,3) can also be interpreted as the SU(2) character variety of the 3-punctured torus. Our description of M^s(X,3) reproduces the known Poincaré polynomial for this space.

Original language	English (US)
Pages (from-to)	4645-4653
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	150
Issue number	11
DOIs	https://doi.org/10.1090/proc/15996
State	Published - Nov 1 2022

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

Access to Document

10.1090/proc/15996

Cite this

@article{85832d096a00425894807041523d73f9,

title = "THE MODULI SPACE OF STABLE RANK 2 PARABOLIC BUNDLES OVER AN ELLIPTIC CURVE WITH 3 MARKED POINTS",

abstract = "We explicitly describe the moduli space Ms(X,3) of stable rank 2 parabolic bundles over an elliptic curve X with trivial determinant bundle and 3 marked points. Specifically, we exhibit Ms(X,3) as a blow-up of an embedded elliptic curve in (CP1)3. The moduli space Ms(X,3) can also be interpreted as the SU(2) character variety of the 3-punctured torus. Our description of Ms(X,3) reproduces the known Poincar{\'e} polynomial for this space.",

author = "David Boozer",

year = "2022",

month = nov,

day = "1",

doi = "10.1090/proc/15996",

language = "English (US)",

volume = "150",

pages = "4645--4653",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "11",

}

TY - JOUR

T1 - THE MODULI SPACE OF STABLE RANK 2 PARABOLIC BUNDLES OVER AN ELLIPTIC CURVE WITH 3 MARKED POINTS

AU - Boozer, David

PY - 2022/11/1

Y1 - 2022/11/1

N2 - We explicitly describe the moduli space Ms(X,3) of stable rank 2 parabolic bundles over an elliptic curve X with trivial determinant bundle and 3 marked points. Specifically, we exhibit Ms(X,3) as a blow-up of an embedded elliptic curve in (CP1)3. The moduli space Ms(X,3) can also be interpreted as the SU(2) character variety of the 3-punctured torus. Our description of Ms(X,3) reproduces the known Poincaré polynomial for this space.

AB - We explicitly describe the moduli space Ms(X,3) of stable rank 2 parabolic bundles over an elliptic curve X with trivial determinant bundle and 3 marked points. Specifically, we exhibit Ms(X,3) as a blow-up of an embedded elliptic curve in (CP1)3. The moduli space Ms(X,3) can also be interpreted as the SU(2) character variety of the 3-punctured torus. Our description of Ms(X,3) reproduces the known Poincaré polynomial for this space.

UR - https://www.scopus.com/pages/publications/85139470958

UR - https://www.scopus.com/pages/publications/85139470958#tab=citedBy

U2 - 10.1090/proc/15996

DO - 10.1090/proc/15996

M3 - Article

AN - SCOPUS:85139470958

SN - 0002-9939

VL - 150

SP - 4645

EP - 4653

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 11

ER -

THE MODULI SPACE OF STABLE RANK 2 PARABOLIC BUNDLES OVER AN ELLIPTIC CURVE WITH 3 MARKED POINTS

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this