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Kontsevich's characteristic classes as topological invariants of configuration space bundles

Xujia Chen

Algebraic & Geometric Topology 26 (2026) 349–395
Bibliography
1 R Bott, L W Tu, Differential forms in algebraic topology, 82, Springer (1982) MR658304
2 G E Bredon, Sheaf theory, 170, Springer (1997) MR1481706
3 B Conrad, Cech cohomology and alternating cochains,
4 S K Donaldson, D P Sullivan, Quasiconformal 4-manifolds, Acta Math. 163 (1989) 181 MR1032074
5 W Fulton, R MacPherson, A compactification of configuration spaces, Ann. of Math. 139 (1994) 183 MR1259368
6 A Hatcher, Spectral sequences, book project (2004)
7 M Kontsevich, Feynman diagrams and low-dimensional topology, from: "First European Congress of Mathematics, II" (editors A Joseph, F Mignot, F Murat, B Prum, R Rentschler), Progr. Math. 120, Birkhäuser (1994) 97 MR1341841
8 R Koytcheff, Bott–Taubes–Vassiliev cohomology classes by cut-and-paste topology, Internat. J. Math. 30 (2019) 1950047 MR4013313
9 P Kronheimer, T Mrowka, Monopoles and three-manifolds, 10, Cambridge Univ. Press (2007) MR2388043
10 G Kuperberg, D P Thurston, Perturbative 3-manifold invariants by cut-and-paste topology, preprint (1999) arXiv:math/9912167
11 C Lescop, Invariants of links and 3-manifolds from graph configurations, EMS Press (2024) MR4847972
12 J Lin, Y Xie, Configuration space integrals and formal smooth structures, preprint (2023) arXiv:2310.14156
13 K Nagami, Dimension theory, 37, Academic Press (1970) MR271918
14 A Sard, Hausdorff measure of critical images on Banach manifolds, Amer. J. Math. 87 (1965) 158 MR173748
15 D P Sinha, Manifold-theoretic compactifications of configuration spaces, Selecta Math. 10 (2004) 391 MR2099074
16 N E Steenrod, Homology with local coefficients, Ann. of Math. 44 (1943) 610 MR9114
17 N Steenrod, The topology of fibre bundles, 14, Princeton Univ. Press (1951) MR39258
18 E Szpilrajn, La dimension et la mesure, Fundam. Math. 28 (1937) 81
19 T Watanabe, Some exotic nontrivial elements of the rational homotopy groups of Diff(S4), preprint (2018) arXiv:1812.02448
20 T Watanabe, Addendum to : Some exotic nontrivial elements of the rational homotopy groups of Diff(S4) (homological interpretation), preprint (2021) arXiv:2109.01609
21 Xujia, Example of homeomorphism that lifts to real blow up but not C1 ?, MathOverflow answer (2022)