Martin David Palmer -- Papers and preprints

Martin David Palmer -- Papers and preprints

Papers and preprints

Preprints

[ 25 ] Compact and finite-type support in the homology of big mapping class groups
- with Xiaolei Wu
- arXiv: abs / pdf (v1: 2024, v2: 2024)
[ 24 ] Polynomiality of surface braid and mapping class group representations
- with Arthur Soulié
- arXiv: abs / pdf (v1: 2023, v2: 2023)
[ 23 ] The pro-nilpotent Lawrence-Krammer-Bigelow representation
- with Arthur Soulié
- arXiv: abs / pdf (v1: 2022)
[ 22 ] Heisenberg homology on surface configurations
- with Christian Blanchet and Awais Shaukat
- arXiv: abs / pdf (v1: 2021, v4: 2022)
[ 21 ] Lawrence-Bigelow representations, bases and duality
- with Cristina Anghel
- arXiv: abs / pdf (v1: 2020)
[ 20 ] Stability for moduli spaces of manifolds with conical singularities
- arXiv: abs / pdf (v1: 2018, v2: 2020)
[ 19 ] A comparison of twisted coefficient systems
- arXiv: abs / pdf (v1: 2017, v2: 2019)

Papers

[ 18 ] When the lower central series stops: a comprehensive study for braid groups and their relatives
- with Jacques Darné and Arthur Soulié
- To appear in the Memoirs of the American Mathematical Society
- (arXiv: abs / pdf)
[ 17 ] Action of subgroups of the mapping class group on Heisenberg homologies
- with Christian Blanchet and Awais Shaukat
- To appear in Contemporary Mathematics
- (arXiv: abs / pdf)
[ 16 ] Homological stability for subgroups of surface braid groups
- with TriThang Tran
- To appear in Homology, Homotopy and Applications
- (arXiv: abs / pdf) Note:
[ 15 ] On the homology of big mapping class groups
- with Xiaolei Wu
- Journal of Topology vol. 17 no. 4 (2024) Article no.: e12358 (41 pp.)
- (arXiv: abs / pdf)
[ 14 ] Topological representations of motion groups and mapping class groups -- a unified functorial construction
- with Arthur Soulié
- Annales Henri Lebesgue vol. 7 (2024) pp. 409-519
- (arXiv: abs / pdf)
[ 13 ] Big mapping class groups with uncountable integral homology
- with Xiaolei Wu
- Documenta Mathematica vol. 29 no. 1 (2024) pp. 159-189
- (arXiv: abs / pdf)
[ 12 ] Homology stability for asymptotic monopole moduli spaces
- with Ulrike Tillmann
- Proceedings of the Royal Society A vol. 479 (2023) Article no.: 20230300 (16 pp.)
- (arXiv: abs / pdf)
[ 11 ] Motivic homological stability of configuration spaces
- with Geoffroy Horel
- Bulletin of the London Mathematical Society vol. 55 no. 2 (2023) pp. 892-913
- (arXiv: abs / pdf)
[ 10 ] Point-pushing actions for manifolds with boundary
- with Ulrike Tillmann
- Groups, Geometry, and Dynamics vol. 16 no. 4 (2022) pp. 1179-1224
- (arXiv: abs / pdf)
[ 9 ] The Burau representations of loop braid groups
- with Arthur Soulié
- Comptes Rendus. Mathématique vol. 360 (2022) pp. 781-797
- (arXiv: abs / pdf)
[ 8 ] Configuration-mapping spaces and homology stability
- with Ulrike Tillmann
- Research in the Mathematical Sciences vol. 8 (2021) Article no.: 38 (45 pp.)
- (arXiv: abs / pdf)
[ 7 ] Homological stability for moduli spaces of disconnected submanifolds, I
- Algebraic & Geometric Topology vol. 21 no. 3 (2021) pp. 1371-1444
- (arXiv: abs / pdf)
[ 6 ] Triple-crossing number and moves on triple-crossing link diagrams
- with Colin Adams and Jim Hoste
- Journal of Knot Theory and Its Ramifications vol. 28 no. 11 (2019) 1940001 (20 pp.)
- (arXiv: abs / pdf)
[ 5 ] Twisted homological stability for configuration spaces
- Homology, Homotopy and Applications vol. 20 no. 2 (2018) pp. 145-178
- (arXiv: abs / pdf)
[ 4 ] Scanning for oriented configuration spaces
- with Jeremy Miller
- Homology, Homotopy and Applications vol. 17 no. 1 (2015) pp. 35-66
- (arXiv: abs / pdf)
[ 3 ] A twisted homology fibration criterion and the twisted group-completion theorem
- with Jeremy Miller
- The Quarterly Journal of Mathematics vol. 66 no. 1 (2015) pp. 265-284
- (arXiv: abs / pdf)
[ 2 ] On homological stability for configuration spaces on closed background manifolds
- with Federico Cantero
- Documenta Mathematica vol. 20 (2015) pp. 753-805
- (arXiv: abs / pdf)
[ 1 ] Homological stability for oriented configuration spaces
- Transactions of the American Mathematical Society vol. 365 (2013) pp. 3675-3711
- (arXiv: abs / pdf)

Theses

[ II ] Habilitation thesis: Moduli spaces and their fundamental groups: homology, representations and lower central series (2024)
- SCOSAAR
[ I ] PhD thesis: Configuration spaces and homological stability (2013)
- Oxford University Research Archive

Other

[ A ] Exercises and solutions to exercises for the lecture course "Lectures on Invertible Field Theories" by Søren Galatius
- with Arun Debray and Søren Galatius
- IAS/Park City Mathematics Series vol. 28 (2021), Quantum Field Theory and Manifold Invariants, pp. 380–400
- (arXiv: abs / pdf)