Geometry & Topology Volume 21, issue 4 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Editorial Procedure

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP Journals

Homology of FI-modules

Thomas Church and Jordan S Ellenberg

Geometry & Topology 21 (2017) 2373–2418

DOI: 10.2140/gt.2017.21.2373

Bibliography

1	A Borel, J P Serre, Corners and arithmetic groups, Comment. Math. Helv. 48 (1973) 436 MR0387495
2	F Calegari, M Emerton, Homological stability for completed homology, Math. Ann. 364 (2016) 1025 MR3466858
3	R Charney, On the problem of homology stability for congruence subgroups, Comm. Algebra 12 (1984) 2081 MR747219
4	T Church, J S Ellenberg, B Farb, FI-modules and stability for representations of symmetric groups, Duke Math. J. 164 (2015) 1833 MR3357185
5	T Church, J S Ellenberg, B Farb, R Nagpal, FI-modules over Noetherian rings, Geom. Topol. 18 (2014) 2951 MR3285226
6	J S Ellenberg, A Venkatesh, C Westerland, Homological stability for Hurwitz spaces and the Cohen–Lenstra conjecture over function fields, Ann. of Math. 183 (2016) 729 MR3488737
7	W L Gan, A long exact sequence for homology of FI-modules, preprint (2016) arXiv:1602.08873v3
8	W L Gan, L Li, On central stability, preprint (2016) arXiv:1504.07675v5
9	W L Gan, L Li, A remark on FI-module homology, Michigan Math. J. 65 (2016) 855 MR3579189
10	L Li, Upper bounds of homological invariants of FIG–modules, preprint (2016) arXiv:1512.05879v3
11	L Li, N Yu, Filtrations and homological degrees of FI-modules, J. Algebra 472 (2017) 369 MR3584882
12	A Putman, Stability in the homology of congruence subgroups, Invent. Math. 202 (2015) 987 MR3425385
13	S V Sam, A Snowden, Stability patterns in representation theory, Forum Math. Sigma 3 (2015) MR3376738
14	S V Sam, A Snowden, GL-equivariant modules over polynomial rings in infinitely many variables, Trans. Amer. Math. Soc. 368 (2016) 1097 MR3430359
15	C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324
16	J D Wiltshire-Gordon, Uniformly presented vector spaces, preprint (2014) arXiv:1406.0786v1