DOI10.1006/aima.1995.1045zbMath0863.19004OpenAlexW2034590487MaRDI QIDQ1901783
Alexander B. Goncharov
Publication date: 23 October 1996
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/e08b683b8d5f8488b54d120e01f9005a15644b9c
The Lerch zeta function. III: Polylogarithms and special values,
Polylogarithms, regulators, and Arakelov motivic complexes,
Infinitesimal and tangent to polylogarithmic complexes for higher weight,
Geometry of configurations in tangent groups,
The homology of \(SL_2\) of discrete valuation rings,
K-decompositions and 3d gauge theories,
Functional relations for elliptic polylogarithms,
Exponential complexes, period morphisms, and characteristic classes,
Strong Suslin reciprocity law and the norm map,
Maximal cuts and differential equations for Feynman integrals. An application to the three-loop massive banana graph,
Goncharov's relations in Bloch's higher Chow group \(\text{CH}^{3}(F,5)\),
Dedekind zeta motives for totally real number fields,
A simple construction of Grassmannian polylogarithms,
Embedding Feynman integral (Calabi-Yau) geometries in weighted projective space,
An elliptic generalization of multiple polylogarithms,
Infinitesimal Bloch regulator,
The ice cone family and iterated integrals for Calabi-Yau varieties,
An eight loop amplitude via antipodal duality,
Chow dilogarithm and strong Suslin reciprocity law,
An infinite family of elliptic ladder integrals,
Cutting the traintracks: Cauchy, Schubert and Calabi-Yau,
Infinitesimal dilogarithm on curves over truncated polynomial rings,
The Lie coalgebra of multiple polylogarithms,
On the Goncharov depth conjecture and a formula for volumes of orthoschemes,
A continuous version of multiple zeta functions and multiple zeta values,
On the Goncharov depth conjecture and polylogarithms of depth two,
Hyperlogarithmic functional equations on del Pezzo surfaces,
Holomorphic polylogarithms and Bloch complexes,
Symbology for elliptic multiple polylogarithms and the symbol prime,
Simplicial Abel-Jacobi maps and reciprocity laws,
Epstein zeta function and Bloch-Wigner dilogarithm,
The tangent complex to the Bloch-Suslin complex,
Generalized geometry of Goncharov and con guration complexes,
Elliptic Feynman integrals and pure functions,
Polylogarithm Identities, Cluster Algebras and the $$\mathcal {N} = 4$$ Supersymmetric Theory,
Remarques sur les différentielles des polylogarithmes uniformes. (Remarks on the differentials of the uniform polylogarithms.),
Algebraic branch points at all loop orders from positive kinematics and wall crossing,
The extended Bloch group and the Cheeger-Chern-Simons class,
Hexagon bootstrap in the double scaling limit,
Relative Milnor $K$-groups and differential forms of split nilpotent extensions,
The Hurwitz zeta function as a convergent series,
Mahler measures and computations with regulators,
Deformations of Bloch groups and Aomoto dilogarithms in characteristic \(p\),
Motivic complexes of weight three and pairs of simplices in projective 3-space.,
Additive polylogarithms and their functional equations,
Moduli spaces of local systems and higher Teichmüller theory,
Sequential discontinuities of Feynman integrals and the monodromy group,
Systematic approximation of multi-scale Feynman integrals,
An algebraic integration for Mahler measure,
From polygons and symbols to polylogarithmic functions,
Unnamed Item,
The existence of higher logarithms,
A note on values of the Dedekind zeta-function at odd positive integers,
Feynman integrals as A-hypergeometric functions,
Area preserving pl homeomorphisms and relations in \(K_2\),
The strong Suslin reciprocity law,
Deninger's conjecture on \(L\)-functions of elliptic curves at \(s=3\),
Clean single-valued polylogarithms,
Homology of \(GL_n\) over infinite fields outside the stability range,
The cosmic Galois group and extended Steinmann relations for planar \(\mathcal{N} = 4\) SYM amplitudes,
Infinitesimal Chow dilogarithm,
Transgression in bounded cohomology and a conjecture of Monod,
Solving the Hagedorn temperature of \(\mathrm{AdS}_5/\mathrm{CFT}_4\) via the quantum spectral curve: chemical potentials and deformations,
A Survey of the Additive Dilogarithm,
Volumes of hyperbolic manifolds and mixed Tate motives,
Geometric construction of polylogarithms,
Integration by parts identities in integer numbers of dimensions. A criterion for decoupling systems of differential equations,
The SAGEX review on scattering amplitudes Chapter 5: Analytic bootstraps for scattering amplitudes and beyond
