Dr Jon Woolf B.A., M.Phil., D.Phil.

Senior lecturer Mathematical Sciences

+44 (0)151 794 4052
Work email Jonathan.Woolf@liverpool.ac.uk
Personal WebsitePersonal webpage

Publications

Filter the publication list

Filter list by type

Show all
Journal article
Conference paper
Chapter
Other

2022

Partial compactification of stability manifolds by massless semistable objects (Preprint)

DOI: 10.48550/arXiv.2208.03173

WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES? (Journal article)

CIPRIANI, A., & WOOLF, J. O. N. (2022). WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES?. Glasgow Mathematical Journal, 64(1), 185-196. doi:10.1017/s0017089521000021

DOI: 10.1017/s0017089521000021

2021

Mass-growth of triangulated auto-equivalences (Preprint)

DOI: 10.48550/arXiv.2109.13163

2020

Witt groups of abelian categories and perverse sheaves (Journal article)

Woolf, J. M., & Schurmann, J. (2020). Witt groups of abelian categories and perverse sheaves. Annals of K-Theory, 4(4), 621-670. doi:10.2140/akt.2019.4.621

DOI: 10.2140/akt.2019.4.621

2018

Contractible stability spaces and faithful braid group actions (Journal article)

Qiu, Y., & Woolf, J. (2018). Contractible stability spaces and faithful braid group actions. Geometry and Topology, 22, 3701-3760. doi:10.2140/gt.2018.22.3701

DOI: 10.2140/gt.2018.22.3701

2012

Some metric properties of spaces of stability conditions (Journal article)

Woolf, J. (2012). Some metric properties of spaces of stability conditions. Bulletin of the London Mathematical Society, 44(6), 1274-1284. doi:10.1112/blms/bds056

DOI: 10.1112/blms/bds056

2010

Stability conditions, torsion theories and tilting (Journal article)

Woolf, J. (2010). Stability conditions, torsion theories and tilting. Journal of the London Mathematical Society, 82(3), 663-682. doi:10.1112/jlms/jdq035

DOI: 10.1112/jlms/jdq035

Transversal homotopy theory (Journal article)

Woolf, J. (2010). Transversal homotopy theory. Theory and applications of categories, 24(7), 148-178. Retrieved from http://www.tac.mta.ca/tac/volumes/24/7/24-07.pdf

2009

The fundamental category of a stratified space (Journal article)

Woolf, J. (2009). The fundamental category of a stratified space. Journal of Homotopy and Related Structures, 4(1), 359-387. Retrieved from http://tcms.org.ge/Journals/JHRS/volumes/2009/volume4-1.htm

2008

Spaces of stability conditions and tilting: a survey (Conference Paper)

Woolf, J. (2008). Spaces of stability conditions and tilting: a survey. In 2nd NIMS School in Algebraic Geometry. Daejeon: NIMS.

Witt groups of sheaves on topological spaces (Journal article)

Woolf, J. (2008). Witt groups of sheaves on topological spaces. Commentarii Mathematici Helvetici, 289-326. doi:10.4171/cmh/125

DOI: 10.4171/cmh/125

2006

Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations (Journal article)

Jeffrey, L., Kiem, Y. -H., Kirwan, F. C., & Woolf, J. (2006). Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations. Transformation Groups, 11(3), 439-494. doi:10.1007/s00031-005-1118-1

DOI: 10.1007/s00031-005-1118-1

THE KIRWAN MAP FOR SINGULAR SYMPLECTIC QUOTIENTS (Journal article)

KIEM, Y. -H., & WOOLF, J. (2006). THE KIRWAN MAP FOR SINGULAR SYMPLECTIC QUOTIENTS. Journal of the London Mathematical Society, 73(01), 209-230. doi:10.1112/s0024610705022453

DOI: 10.1112/s0024610705022453

An introduction to intersection homology theory (Book)

Kirwan, F., & Woolf, J. (2006). An introduction to intersection homology theory. Boca Raton: Chapman & Hall / CRC Press.

Witt groups and Witt spaces (Conference Paper)

Woolf, J. (2006). Witt groups and Witt spaces. In Topology and Analysis in Interaction (pp. 9-12). Oberwolfach: Mathematisches Forschungsinstitut Oberwolfach.

2005

The Kirwan map, equivariant Kirwan maps, and their kernels (Journal article)

Jeffrey, L. C., Mare, A. -L., & Woolf, J. M. (2005). The Kirwan map, equivariant Kirwan maps, and their kernels. Journal für die reine und angewandte Mathematik (Crelles Journal), 2005(589), 105-127. doi:10.1515/crll.2005.2005.589.105

DOI: 10.1515/crll.2005.2005.589.105

INTERSECTION COHOMOLOGY OF SYMPLECTIC QUOTIENTS BY CIRCLE ACTIONS (Journal article)

KIEM, Y. -H., & WOOLF, J. (2005). INTERSECTION COHOMOLOGY OF SYMPLECTIC QUOTIENTS BY CIRCLE ACTIONS. Journal of the London Mathematical Society, 71(02), 531-544. doi:10.1112/s0024610704006118

DOI: 10.1112/s0024610704006118

2003

Cohomology pairings on singular quotients in geometric invariant theory (Journal article)

Jeffrey, L. C., Kiem, Y. -H., Kirwan, F., & Woolf, J. (2003). Cohomology pairings on singular quotients in geometric invariant theory. Transformation Groups, 8(3), 217-259. doi:10.1007/s00031-003-0510-y

DOI: 10.1007/s00031-003-0510-y

The decomposition theorem and the intersection cohomology of quotients in algebraic geometry (Journal article)

Woolf, J. (2003). The decomposition theorem and the intersection cohomology of quotients in algebraic geometry. Journal of Pure and Applied Algebra, 182(2-3), 317-328. doi:10.1016/s0022-4049(03)00030-6

DOI: 10.1016/s0022-4049(03)00030-6