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1
V Alexeev , A
Brunyate , Extending the
Torelli map to toroidal compactifications of Siegel
space , Invent. Math. 188 (2012) 175 MR2897696
2
A Ash , On the cohomology
of SL n ( ℤ ) , Adv. Math. 454 (2024) 21 MR4781477
3
O Baker , The Jacobian
map on Outer space , PhD thesis, Cornell University
(2011)
4
P Banks , E
Panzer , B Pym , Multiple zeta
values in deformation quantization , Invent. Math. 222
(2020) 79 MR4145788
5
P Belkale , P
Brosnan , Matroids,
motives, and a conjecture of Kontsevich , Duke Math. J.
116 (2003) 147 MR1950482
6
J M Bismut , J
Lott , Torus bundles
and the group cohomology of GL ( N, ℤ ) , J. Differential Geom. 47 (1997) 196
MR1601604
7
S Bloch , H
Esnault , D Kreimer , On motives
associated to graph polynomials , Comm. Math. Phys. 267
(2006) 181 MR2238909
8
A Borel , Stable real cohomology of
arithmetic groups , Ann. Sci. École Norm. Sup. 7 (1974)
235 MR387496
9
M Borinsky ,
Tropical Monte
Carlo quadrature for Feynman integrals , Ann. Inst.
Henri Poincaré D 10 (2023) 635 MR4653794
10
M Borinsky , O
Schnetz , Graphical
functions in even dimensions , Commun. Number Theory
Phys. 16 (2022) 515 MR4494120
11
M Brandt , J
Bruce , M Chan , M Melo , G Moreland ,
C Wolfe , On the top-weight
rational cohomology of 𝒜 g , Geom. Topol. 28 (2024) 497
MR4718121
12
S Brannetti , M
Melo , F Viviani , On the tropical
Torelli map , Adv. Math. 226 (2011) 2546 MR2739784
13
F C S Brown ,
On the periods of some Feynman integrals , preprint
(2009) arXiv:0910.0114
14
F Brown , Mixed Tate
motives over ℤ , Ann. of
Math. 175 (2012) 949 MR2993755
15
F Brown , Invariant differential
forms on complexes of graphs and Feynman integrals ,
Symmetry Integrability Geom. Methods Appl. 17 (2021) 103
MR4343257
16
F Brown , Bordifications of
the moduli spaces of tropical curves and abelian varieties, and
unstable cohomology of GL g ( ℤ ) and SL g ( ℤ ) , Invent. Math. 241 (2025) 35 MR4921572
17
F Brown , C
Dupont , Single-valued
integration and superstring amplitudes in genus zero ,
Comm. Math. Phys. 382 (2021) 815 MR4227164
18
F Brown , O
Schnetz , A K 3 in ϕ 4 , Duke Math. J. 161 (2012) 1817
MR2954618
19
L Caporaso , F
Viviani , Torelli theorem for
graphs and tropical curves , Duke Math. J. 153 (2010)
129 MR2641941
20
M Chan , S
Galatius , S Payne , Topology of moduli
spaces of tropical curves with marked points , from:
"Facets of algebraic geometry, I" (editors P Aluffi, D
Anderson, M Hering, M Mustaţă, S Payne), London Math. Soc.
Lecture Note Ser. 472, Cambridge Univ. Press (2022) 77 MR4381898
21
T Church , B
Farb , A Putman , A stability conjecture
for the unstable cohomology of SL n ℤ , mapping
class groups, and Aut ( F n ) ,
from: "Algebraic topology: applications and new directions"
(editors U Tillmann, S r Galatius, D Sinha), Contemp.
Math. 620, Amer. Math. Soc. (2014) 55 MR3290086
22
J Conant , K
Vogtmann , On a theorem of
Kontsevich , Algebr. Geom. Topol. 3 (2003) 1167 MR2026331
23
P Deligne , Le groupe
fondamental de la droite projective moins trois points ,
from: "Galois groups over ℚ "
(editors Y Ihara, K Ribet, J P Serre), Math. Sci. Res.
Inst. Publ. 16, Springer (1989) 79 MR1012168
24
V G Drinfel’d ,
On
quasitriangular quasi-Hopf algebras and on a group that is
closely connected with Gal ( ℚ ∕ ℚ ) , Algebra i Analiz 2 (1990) 149
MR1080203
25
P Elbaz-Vincent , H
Gangl , C Soulé , Perfect forms,
K-theory and the cohomology of modular groups , Adv.
Math. 245 (2013) 587 MR3084439
26
M Golz , E
Panzer , O Schnetz , Graphical functions
in parametric space , Lett. Math. Phys. 107 (2017) 1177
MR3647085
27
H Grobner , Residues of
Eisenstein series and the automorphic cohomology of reductive
groups , Compos. Math. 149 (2013) 1061 MR3078638
28
R Hain , The rational
cohomology ring of the moduli space of abelian 3 -folds , Math. Res. Lett. 9 (2002) 473
MR1928867
29
A Khoroshkin , T
Willwacher , M Živković , Differentials on
graph complexes , Adv. Math. 307 (2017) 1184 MR3590540
30
M Kontsevich ,
Formal
(non)commutative symplectic geometry , from: "The
Gel’fand mathematical seminars, 1990–1992" (editors L Corwin, I
Gel’fand, J Lepowsky), Birkhäuser (1993) 173 MR1247289
31
R Lee , R H
Szczarba , On the torsion
in K 4 ( ℤ ) and
K 5 ( ℤ ) , Duke
Math. J. 45 (1978) 101 MR491893
32
E Looijenga ,
Cohomology
of ℳ 3 and ℳ 3 1 , from: "Mapping class groups and
moduli spaces of Riemann surfaces" (editors C F
Bödigheimer, R M Hain), Contemp. Math. 150, Amer. Math.
Soc. (1993) 205 MR1234266
33
B D McKay , A
Piperno , Practical graph
isomorphism, II , J. Symbolic Comput. 60 (2014) 94
MR3131381
34
M Melo , F
Viviani , Comparing perfect
and 2nd Voronoi decompositions : the matroidal locus ,
Math. Ann. 354 (2012) 1521 MR2993003
35
G Mikhalkin , I
Zharkov , Tropical curves, their
Jacobians and theta functions , from: "Curves and
abelian varieties" (editors V Alexeev, A Beauville, C H
Clemens, E Izadi), Contemp. Math. 465, Amer. Math. Soc. (2008)
203 MR2457739
36
T Nagnibeda ,
The
Jacobian of a finite graph , from: "Harmonic functions
on trees and buildings" (editor A Korányi), Contemp. Math. 206,
Amer. Math. Soc. (1997) 149 MR1463740
37
Y Odaka , Y
Oshima , Collapsing K3 surfaces, tropical
geometry and moduli compactifications of Satake, Morgan–Shalen
type , 40, Math. Soc. Japan (2021) MR4290084
38
J L Portner ,
Computing the
single-valued Knizhnik–Zamolodchikov associator ,
Master’s thesis, ETH Zürich, Oxford University (2023)
39
C Procesi , On the theorem of
Amitsur–Levitzki , Israel J. Math. 207 (2015) 151
MR3358043
40
S Rosset , A new proof of the
Amitsur–Levitski identity , Israel J. Math. 23 (1976)
187 MR401804
41
C A Rossi , T
Willwacher , P. Etingof’s conjecture about Drinfeld
associators , preprint (2014) arXiv:1404.2047
42
O Schnetz , Graphical
functions and single-valued multiple polylogarithms ,
Commun. Number Theory Phys. 8 (2014) 589 MR3318386
43
O Schnetz , Numbers and
functions in quantum field theory , Phys. Rev. D 97
(2018) MR3846506
44
O Schnetz ,
Generalized single-valued hyperlogarithms , preprint
(2021) arXiv:2111.11246
45
O Schnetz , ϕ 4
theory at seven loops , Phys. Rev. D 107 (2023) 036002
MR4560399
46
O Schnetz , HyperlogProcedures ,
package for Maple computations (2024)
47
M D Sikirić , P
Elbaz-Vincent , A Kupers , J Martinet ,
Voronoi complexes in higher dimensions, cohomology of
GL N ( Z ) for N
≥ 8
and the triviality of K 8 ( Z ) , preprint
(2019) arXiv:1910.11598
48
N J A
Sloane , Triangle read
by rows : T ( n,k ) = T ( n − 1 ,k − 1) + k 2
∗ T ( n − 1 ,k ) , 1 < k < =
n , T ( n, 1) = 1 ,
from: "The on-line encyclopedia of integer sequences"
(2000)
49
C Soulé , The cohomology
of SL 3 ( ℤ ) ,
Topology 17 (1978) 1 MR470141
50
P Vanhove , F
Zerbini , Single-valued
hyperlogarithms, correlation functions and closed string
amplitudes , Adv. Theor. Math. Phys. 26 (2022) 455
MR4533373
51
B C Ward ,
Wheel graph
homology classes via Lie graph homology , J. Noncommut.
Geom. 17 (2023) 693 MR4592884
52
T Willwacher ,
M. Kontsevich’s
graph complex and the Grothendieck–Teichmüller Lie
algebra , Invent. Math. 200 (2015) 671 MR3348138