Algebraic & Geometric Topology Volume 24, issue 2 (2024)

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ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

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Comparing combinatorial models of moduli space and their compactifications

Daniela Egas Santander and Alexander Kupers

Algebraic & Geometric Topology 24 (2024) 595–654

DOI: 10.2140/agt.2024.24.595

Bibliography

1	J Abhau, C F Bödigheimer, R Ehrenfried, Homology of the mapping class group Γ_2,1 for surfaces of genus 2 with a boundary curve, 14, Geom. Topol. Publ. (2008) 1 MR2484693
2	C F Bödigheimer, On the topology of moduli spaces, I: Hilbert uniformization, 7–8, Sonderforschungsbereich Geom. Anal. (1990)
3	C F Bödigheimer, Configuration models for moduli spaces of Riemann surfaces with boundary, Abh. Math. Sem. Univ. Hamburg 76 (2006) 191 MR2293442
4	C F Bödigheimer, Hilbert uniformization of Riemann surfaces, I: Short version, preprint (2007)
5	C F Bödigheimer, U Tillmann, Stripping and splitting decorated mapping class groups, from: "Cohomological methods in homotopy theory" (editors J Aguadé, C Broto, C Casacuberta), Progr. Math. 196, Birkhäuser (2001) 47 MR1851247
6	B H Bowditch, D B A Epstein, Natural triangulations associated to a surface, Topology 27 (1988) 91 MR0935529
7	M Chas, D Sullivan, String topology, preprint (1999) arXiv:math/9911159
8	R L Cohen, V Godin, A polarized view of string topology, from: "Topology, geometry and quantum field theory" (editor U Tillmann), Lond. Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 127 MR2079373
9	K Costello, A dual version of the ribbon graph decomposition of moduli space, Geom. Topol. 11 (2007) 1637 MR2350462
10	K Costello, Topological conformal field theories and gauge theories, Geom. Topol. 11 (2007) 1539 MR2326951
11	G C Drummond-Cole, K Poirier, N Rounds, Chain-level string topology operations, preprint (2015) arXiv:1506.02596
12	J Ebert, Hilbert-Uniformisierung Kleinscher Flächen, Diplomarbeit in Mathematik, Universität Bonn (2003)
13	J F Ebert, R M Friedrich, The Hilbert-uniformization is real-analytic, preprint (2006) arXiv:math/0601378
14	D Egas Santander, Comparing fat graph models of moduli space, preprint (2015) arXiv:1508.03433
15	R Ehrenfried, Die Homologie der Modulräume berandeter Riemannscher Flächen von kleinem Geschlecht, PhD thesis, Universität Bonn (1997)
16	Y Félix, J C Thomas, String topology on Gorenstein spaces, Math. Ann. 345 (2009) 417 MR2529482
17	C D Feustel, Homotopic arcs are isotopic, Proc. Amer. Math. Soc. 17 (1966) 891 MR0196724
18	R Fritsch, R A Piccinini, Cellular structures in topology, 19, Cambridge Univ. Press (1990) MR1074175
19	S Galatius, Mod p homology of the stable mapping class group, Topology 43 (2004) 1105 MR2079997
20	V Godin, A category of bordered fat graphs and the mapping class group of a bordered surface, PhD thesis, Stanford University (2004) MR2706406
21	V Godin, Higher string topology operations, preprint (2007) arXiv:0711.4859
22	V Godin, The unstable integral homology of the mapping class groups of a surface with boundary, Math. Ann. 337 (2007) 15 MR2262776
23	A Gramain, Le type d’homotopie du groupe des difféomorphismes d’une surface compacte, Ann. Sci. École Norm. Sup. 6 (1973) 53 MR0326773
24	U Hamenstädt, Teichmüller theory, from: "Moduli spaces of Riemann surfaces" (editors B Farb, R Hain, E Looijenga), IAS/Park City Math. Ser. 20, Amer. Math. Soc. (2013) 45 MR3114682
25	J L Harer, Stability of the homology of the mapping class groups of orientable surfaces, Ann. of Math. 121 (1985) 215 MR0786348
26	J L Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986) 157 MR0830043
27	J L Harer, The cohomology of the moduli space of curves, from: "Theory of moduli" (editor E Sernesi), Lecture Notes in Math. 1337, Springer (1988) 138 MR963064
28	A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
29	K Igusa, Higher Franz–Reidemeister torsion, 31, Amer. Math. Soc. (2002) MR1945530
30	R M Kaufmann, Open/closed string topology and moduli space actions via open/closed Hochschild actions, Symmetry Integrability Geom. Methods Appl. 6 (2010) 036 MR2647315
31	A Klamt, The complex of formal operations on the Hochschild chains of commutative algebras, J. Lond. Math. Soc. 91 (2015) 266 MR3335246
32	M Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function, Comm. Math. Phys. 147 (1992) 1 MR1171758
33	R C Lacher, Cell-like mappings and their generalizations, Bull. Amer. Math. Soc. 83 (1977) 495 MR0645403
34	I Madsen, M Weiss, The stable mapping class group and stable homotopy theory, from: "European Congress of Mathematics" (editor A Laptev), Eur. Math. Soc. (2005) 283 MR2185751
35	J van Mill, Infinite-dimensional topology: prerequisites and introduction, 43, North-Holland (1989) MR0977744
36	J Nielsen, Die Isomorphismengruppe der freien Gruppen, Math. Ann. 91 (1924) 169 MR1512188
37	R C Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987) 299 MR0919235
38	K Poirier, String topology and compactified moduli spaces, PhD thesis, City University of New York (2010) MR2941647
39	K Strebel, Quadratic differentials, 5, Springer (1984) MR0743423
40	T Tradler, M Zeinalian, On the cyclic Deligne conjecture, J. Pure Appl. Algebra 204 (2006) 280 MR2184812
41	N Wahl, Homological stability for mapping class groups of surfaces, from: "Handbook of moduli, III" (editors G Farkas, I Morrison), Adv. Lect. Math. 26, International (2013) 547 MR3135444
42	N Wahl, Universal operations in Hochschild homology, J. Reine Angew. Math. 720 (2016) 81 MR3565970
43	N Wahl, C Westerland, Hochschild homology of structured algebras, Adv. Math. 288 (2016) 240 MR3436386