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Homological stability and densities of generalized configuration spaces

Quoc P Ho

Geometry & Topology 25 (2021) 813–912
Bibliography
1 C P Boyer, B M Mann, J C Hurtubise, R J Milgram, The topology of the space of rational maps into generalized flag manifolds, Acta Math. 173 (1994) 61 MR1294670
2 T Browning, W Sawin, A geometric version of the circle method, Ann. of Math. 191 (2020) 893 MR4088353
3 B Farb, J Wolfson, M M Wood, Coincidences between homological densities, predicted by arithmetic, Adv. Math. 352 (2019) 670 MR3969163
4 J Francis, D Gaitsgory, Chiral Koszul duality, Selecta Math. 18 (2012) 27 MR2891861
5 D Gaitsgory, The Atiyah–Bott formula for the cohomology of the moduli space of bundles on a curve, preprint (2015) arXiv:1505.02331
6 D Gaitsgory, Eisenstein series and quantum groups, Ann. Fac. Sci. Toulouse Math. 25 (2016) 235 MR3530159
7 D Gaitsgory, The semi-infinite intersection cohomology sheaf, II: The Ran space version, preprint (2017) arXiv:1708.07205
8 D Gaitsgory, J Lurie, Weil’s conjecture for function fields, preprint (2014)
9 D Gaitsgory, N Rozenblyum, A study in derived algebraic geometry, I : Correspondences and duality, 221.1, Amer. Math. Soc. (2017) MR3701352
10 D Gaitsgory, N Rozenblyum, A study in derived algebraic geometry, II : Deformations, Lie theory and formal geometry, 221.2, Amer. Math. Soc. (2017) MR3701353
11 V Ginzburg, M Kapranov, Koszul duality for operads, Duke Math. J. 76 (1994) 203 MR1301191
12 M A Guest, The topology of the space of rational curves on a toric variety, Acta Math. 174 (1995) 119 MR1310847
13 Q P Ho, The Atiyah–Bott formula and connectivity in chiral Koszul duality, preprint (2016) arXiv:1610.00212
14 Q P Ho, Free factorization algebras and homology of configuration spaces in algebraic geometry, Selecta Math. 23 (2017) 2437 MR3703458
15 Q P Ho, Higher representation stability for ordered configuration spaces and twisted commutative factorization algebras, preprint (2020) arXiv:2004.00252
16 B Knudsen, Betti numbers and stability for configuration spaces via factorization homology, Algebr. Geom. Topol. 17 (2017) 3137 MR3704255
17 A Kupers, J Miller, Homological stability for topological chiral homology of completions, Adv. Math. 292 (2016) 755 MR3464033
18 A Kupers, J Miller, En–cell attachments and a local-to-global principle for homological stability, Math. Ann. 370 (2018) 209 MR3747486
19 Y Liu, W Zheng, Enhanced six operations and base change theorem for higher Artin stacks, preprint (2012) arXiv:1211.5948
20 Y Liu, W Zheng, Enhanced adic formalism and perverse t–structures for higher Artin stacks, preprint (2014) arXiv:1404.1128
21 J L Loday, B Vallette, Algebraic operads, 346, Springer (2012) MR2954392
22 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
23 J Lurie, Higher algebra, preprint (2017)
24 J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
25 D McDuff, G Segal, Homology fibrations and the “group-completion” theorem, Invent. Math. 31 (1976) 279 MR402733
26 J Miller, J C H Wilson, Higher-order representation stability and ordered configuration spaces of manifolds, Geom. Topol. 23 (2019) 2519 MR4019898
27 K E Morrison, Z Dong, The probability that random polynomials are relatively r–prime, preprint (2004)
28 D Petersen, Cohomology of generalized configuration spaces, Compos. Math. 156 (2020) 251 MR4045070
29 D Quillen, Rational homotopy theory, Ann. of Math. 90 (1969) 205 MR258031
30 S Raskin, Chiral categories, preprint (2014)
31 O M Schnürer, Six operations on dg enhancements of derived categories of sheaves, Selecta Math. 24 (2018) 1805 MR3816495
32 G Segal, Configuration-spaces and iterated loop-spaces, Invent. Math. 21 (1973) 213 MR331377
33 G Segal, The topology of spaces of rational functions, Acta Math. 143 (1979) 39 MR533892
34 R Vakil, M M Wood, Discriminants in the Grothendieck ring, Duke Math. J. 164 (2015) 1139 MR3336842