TY - JOUR

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

AU - Boozer, David

N1 - Publisher Copyright:
© 2022 American Mathematical Society. All rights reserved.

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.

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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 -