Publications
2024
Mass-growth of triangulated auto-equivalences
Woolf, J. (n.d.). Mass-growth of triangulated auto-equivalences. Manuscripta Mathematica. doi:10.1007/s00229-023-01533-z
Simple tilts of length hearts and simple-minded mutation
2023
The heart fan of an abelian category
2022
WHEN ARE THERE ENOUGH PROJECTIVE PERVERSE SHEAVES?
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
2020
Witt groups of abelian categories and perverse sheaves
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
2018
Contractible stability spaces and faithful braid group actions
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
2012
Some metric properties of spaces of stability conditions
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
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
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
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
Witt groups of sheaves on topological spaces
Woolf, J. (2008). Witt groups of sheaves on topological spaces. Commentarii Mathematici Helvetici, 83(2), 289-326. doi:10.4171/cmh/125
Spaces of stability conditions and tilting: a survey
Woolf, J. (2008). Spaces of stability conditions and tilting: a survey. In 2nd NIMS School in Algebraic Geometry. Daejeon: NIMS.
2006
Intersection pairings on singular moduli spaces of bundles over a Riemann surface and their partial desingularisations
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
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
An introduction to intersection homology theory
Kirwan, F., & Woolf, J. (2006). An introduction to intersection homology theory. Boca Raton: Chapman & Hall / CRC Press.
Witt groups and Witt spaces
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
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
INTERSECTION COHOMOLOGY OF SYMPLECTIC QUOTIENTS BY CIRCLE ACTIONS
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
2003
Cohomology pairings on singular quotients in geometric invariant theory
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
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