Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve

V. Balaji; A. D. King; P. E. Newstead

doi:10.1016/0040-9383(96)00007-9

Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve

V. Balaji, A. D. King, P. E. Newstead

Department of Mathematical Sciences

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

12 Citations (SciVal)

Abstract

Let script N _C be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve C. This paper identifies the algebraic cohomology ring H*_A(script N _C), i.e. the subring of the rational cohomology ring H*(script N _C; ℚ) spanned by the fundamental classes of algebraic cycles, in terms of the algebraic cohomology ring of the Jacobian J_C.

Original language	English
Pages (from-to)	567-577
Number of pages	11
Journal	Topology
Volume	36
Issue number	2
DOIs	https://doi.org/10.1016/0040-9383(96)00007-9
Publication status	Published - Mar 1997

Funding

‘Author’s visit to Liverpool supported by the EU International CT93-0031) and the EPSRC (grant GR/K38878). *Supported by the SERC/EPSRC (grant GR/J38932). gMember of the VBAC group of Europroj. Scientific Cooperation Initiative (grant CIl*-

Funders	Funder number
European Commission	CT93-0031
Engineering and Physical Sciences Research Council	GR/K38878

ASJC Scopus subject areas

Geometry and Topology

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10.1016/0040-9383(96)00007-9

Cite this

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title = "Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve",

abstract = "Let script N C be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve C. This paper identifies the algebraic cohomology ring H*A(script N C), i.e. the subring of the rational cohomology ring H*(script N C; ℚ) spanned by the fundamental classes of algebraic cycles, in terms of the algebraic cohomology ring of the Jacobian JC.",

author = "V. Balaji and King, \{A. D.\} and Newstead, \{P. E.\}",

year = "1997",

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T1 - Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve

AU - Balaji, V.

AU - King, A. D.

AU - Newstead, P. E.

PY - 1997/3

Y1 - 1997/3

N2 - Let script N C be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve C. This paper identifies the algebraic cohomology ring H*A(script N C), i.e. the subring of the rational cohomology ring H*(script N C; ℚ) spanned by the fundamental classes of algebraic cycles, in terms of the algebraic cohomology ring of the Jacobian JC.

AB - Let script N C be the moduli space of stable holomorphic vector bundles of rank 2 and fixed determinant of odd degree, over a smooth projective curve C. This paper identifies the algebraic cohomology ring H*A(script N C), i.e. the subring of the rational cohomology ring H*(script N C; ℚ) spanned by the fundamental classes of algebraic cycles, in terms of the algebraic cohomology ring of the Jacobian JC.

UR - https://www.scopus.com/pages/publications/0031097184

U2 - 10.1016/0040-9383(96)00007-9

DO - 10.1016/0040-9383(96)00007-9

M3 - Article

AN - SCOPUS:0031097184

SN - 0040-9383

VL - 36

SP - 567

EP - 577

JO - Topology

JF - Topology

IS - 2

ER -

Algebraic cohomology of the moduli space of rank 2 vector bundles on a curve

Abstract

Funding

ASJC Scopus subject areas

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