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
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 & TOPOLOGY, 22(6), 3701-3760. 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
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
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
2006
An introduction to intersection homology theory (Book)
Kirwan, F., & Woolf, J. (2006). An introduction to intersection homology theory. Boca Raton: Chapman & Hall / CRC Press.
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
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
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
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
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
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
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