Geometry & Topology Volume 28, issue 2 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

Configuration spaces of disks in a strip, twisted algebras, persistence, and other stories

Hannah Alpert and Fedor Manin

Geometry & Topology 28 (2024) 641–699

DOI: 10.2140/gt.2024.28.641

Bibliography

1	H Alpert, Discrete configuration spaces of squares and hexagons, J. Appl. Comput. Topol. 4 (2020) 263 MR4096335
2	H Alpert, M Kahle, R MacPherson, Configuration spaces of disks in an infinite strip, J. Appl. Comput. Topol. 5 (2021) 357 MR4298668
3	H Alpert, U Bauer, M Kahle, R MacPherson, K Spendlove, Homology of configuration spaces of hard squares in a rectangle, Algebr. Geom. Topol. 23 (2023) 2593 MR4640135
4	V I Arnold, The cohomology ring of the colored braid group, Mat. Zametki 5 (1969) 227 MR0242196
5	Y Baryshnikov, P Bubenik, M Kahle, Min-type Morse theory for configuration spaces of hard spheres, Int. Math. Res. Not. 2014 (2014) 2577 MR3207377
6	U Bauer, Ripser : efficient computation of Vietoris–Rips persistence barcodes, J. Appl. Comput. Topol. 5 (2021) 391 MR4298669
7	A Björner, Random walks, arrangements, cell complexes, greedoids, and self-organizing libraries, from: "Building bridges" (editors M Grötschel, G O H Katona), Bolyai Soc. Math. Stud. 19, Springer (2008) 165 MR2484640
8	A Björner, V Welker, The homology of “k–equal” manifolds and related partition lattices, Adv. Math. 110 (1995) 277 MR1317619
9	P V M Blagojević, G M Ziegler, Convex equipartitions via equivariant obstruction theory, Israel J. Math. 200 (2014) 49 MR3219570
10	G Carlsson, J Gorham, M Kahle, J Mason, Computational topology for configuration spaces of hard disks, Phys. Rev. E 85 (2012) 011303
11	F R Cohen, The homology of C_n+1-spaces, n ≥ 0, from: "The homology of iterated loop spaces" (editors F R Cohen, T J Lada, J P May), Lecture Notes in Math. 533, Springer (1976) 207 MR0436146
12	P Diaconis, The Markov chain Monte Carlo revolution, Bull. Amer. Math. Soc. 46 (2009) 179 MR2476411
13	H Edelsbrunner, J Harer, Persistent homology: a survey, from: "Surveys on discrete and computational geometry" (editors J E Goodman, J Pach, R Pollack), Contemp. Math. 453, Amer. Math. Soc. (2008) 257 MR2405684
14	M Farber, Invitation to topological robotics, Eur. Math. Soc. (2008) MR2455573
15	R Forman, A user’s guide to discrete Morse theory, Sém. Lothar. Combin. 48 (2002) MR1939695
16	M Kahle, Sparse locally-jammed disk packings, Ann. Comb. 16 (2012) 773 MR3000444
17	S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
18	J Miller, J C H Wilson, Higher-order representation stability and ordered configuration spaces of manifolds, Geom. Topol. 23 (2019) 2519 MR4019898
19	E Ramos, Generalized representation stability and FI_d–modules, Proc. Amer. Math. Soc. 145 (2017) 4647 MR3691984
20	E Ramos, Configuration spaces of graphs with certain permitted collisions, Discrete Comput. Geom. 62 (2019) 912 MR4027622
21	E Riehl, Category theory in context, Dover (2017)
22	S V Sam, A Snowden, Introduction to twisted commutative algebras, preprint (2012) arXiv:1209.5122
23	S V Sam, A Snowden, Gröbner methods for representations of combinatorial categories, J. Amer. Math. Soc. 30 (2017) 159 MR3556290
24	D P Sinha, The (non-equivariant) homology of the little disks operad, from: "OPERADS 2009" (editors J L Loday, B Vallette), Sémin. Congr. 26, Soc. Math. France (2013) 253 MR3203375
25	G M Ziegler, Lectures on polytopes, 152, Springer (1995) MR1311028
26	A Zomorodian, G Carlsson, Computing persistent homology, Discrete Comput. Geom. 33 (2005) 249 MR2121296