Bolbachan, Vasily Chow dilogarithm and strong Suslin reciprocity law. (English) Zbl 07739106 J. Algebr. Geom. 32, No. 4, 697-728 (2023). MSC: 14-XX PDF BibTeX XML Cite \textit{V. Bolbachan}, J. Algebr. Geom. 32, No. 4, 697--728 (2023; Zbl 07739106) Full Text: DOI arXiv
Bolbachan, Vasily On functional equations for the elliptic dilogarithm. (English) Zbl 1499.11231 Eur. J. Math. 8, No. 2, 625-633 (2022). MSC: 11G55 19F27 PDF BibTeX XML Cite \textit{V. Bolbachan}, Eur. J. Math. 8, No. 2, 625--633 (2022; Zbl 1499.11231) Full Text: DOI arXiv
Hutchinson, Kevin; Mirzaii, Behrooz; Mokari, Fatemeh Y. The homology of \(SL_2\) of discrete valuation rings. (English) Zbl 1487.19004 Adv. Math. 402, Article ID 108313, 47 p. (2022). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D55 20J06 PDF BibTeX XML Cite \textit{K. Hutchinson} et al., Adv. Math. 402, Article ID 108313, 47 p. (2022; Zbl 1487.19004) Full Text: DOI arXiv
Mirzaii, Behrooz Homology of \(GL_n\) over infinite fields outside the stability range. (English) Zbl 1481.19003 J. Pure Appl. Algebra 226, No. 5, Article ID 106916, 33 p. (2022). Reviewer: Kevin Hutchinson (Dublin) MSC: 19D55 19D45 20J06 PDF BibTeX XML Cite \textit{B. Mirzaii}, J. Pure Appl. Algebra 226, No. 5, Article ID 106916, 33 p. (2022; Zbl 1481.19003) Full Text: DOI arXiv
Mirzaii, B.; Mokari, F. Y.; Ordinola, D. C. Third homology of perfect central extensions. (English) Zbl 1491.19003 Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 61-80 (2021). Reviewer: Kevin Hutchinson (Dublin) MSC: 19D55 20J06 55P20 PDF BibTeX XML Cite \textit{B. Mirzaii} et al., Adv. Stud.: Euro-Tbil. Math. J. 14, No. 4, 61--80 (2021; Zbl 1491.19003) Full Text: DOI arXiv
Ünver, Sinan A survey of the additive dilogarithm. (English) Zbl 1476.19002 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 301-324 (2021). MSC: 19E15 14C25 PDF BibTeX XML Cite \textit{S. Ünver}, Prog. Math. 338, 301--324 (2021; Zbl 1476.19002) Full Text: DOI arXiv
Burns, David; de Jeu, Rob; Gangl, Herbert; Rahm, Alexander D.; Yasaki, Dan Hyperbolic tessellations and generators of \(K_3\) for imaginary quadratic fields. (English) Zbl 1473.19003 Forum Math. Sigma 9, Paper No. e40, 47 p. (2021). Reviewer: Piotr Krasoń (Szczecin) MSC: 19F27 11G55 11R70 19D45 11R42 20H20 51M20 PDF BibTeX XML Cite \textit{D. Burns} et al., Forum Math. Sigma 9, Paper No. e40, 47 p. (2021; Zbl 1473.19003) Full Text: DOI arXiv
Karuo, Hiroaki The reduced Dijkgraaf-Witten invariant of twist knots in the Bloch group of a finite field. (English) Zbl 1478.57006 J. Knot Theory Ramifications 30, No. 3, Article ID 2150014, 70 p. (2021). Reviewer: Hitoshi Murakami (Sendai) MSC: 57K10 57K31 57K32 PDF BibTeX XML Cite \textit{H. Karuo}, J. Knot Theory Ramifications 30, No. 3, Article ID 2150014, 70 p. (2021; Zbl 1478.57006) Full Text: DOI
Rudenko, Daniil The strong Suslin reciprocity law. (English) Zbl 1486.11090 Compos. Math. 157, No. 4, 649-676 (2021). MSC: 11G55 19E15 14F42 PDF BibTeX XML Cite \textit{D. Rudenko}, Compos. Math. 157, No. 4, 649--676 (2021; Zbl 1486.11090) Full Text: DOI arXiv
Hutchinson, Kevin The third homology of \(\mathrm{SL}_2(\mathbb{Q})\). (English) Zbl 1462.20020 J. Algebra 570, 366-396 (2021). MSC: 20G10 20J06 19G99 PDF BibTeX XML Cite \textit{K. Hutchinson}, J. Algebra 570, 366--396 (2021; Zbl 1462.20020) Full Text: DOI arXiv
Siddiqui, Raziuddin Infinitesimal and tangent to polylogarithmic complexes for higher weight. (English) Zbl 1484.19006 AIMS Math. 4, No. 4, 1248-1257 (2019). MSC: 19E15 11G55 14F42 33B30 PDF BibTeX XML Cite \textit{R. Siddiqui}, AIMS Math. 4, No. 4, 1248--1257 (2019; Zbl 1484.19006) Full Text: DOI
Golden, John; McLeod, Andrew J. Cluster algebras and the subalgebra constructibility of the seven-particle remainder function. (English) Zbl 1409.81149 J. High Energy Phys. 2019, No. 1, Paper No. 17, 58 p. (2019). MSC: 81T60 81U20 17B45 70S15 PDF BibTeX XML Cite \textit{J. Golden} and \textit{A. J. McLeod}, J. High Energy Phys. 2019, No. 1, Paper No. 17, 58 p. (2019; Zbl 1409.81149) Full Text: DOI arXiv
Mirzaii, Behrooz A Bloch-Wigner exact sequence over local rings. (English) Zbl 1390.19002 J. Algebra 476, 459-493 (2017). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19C20 19D55 19D45 PDF BibTeX XML Cite \textit{B. Mirzaii}, J. Algebra 476, 459--493 (2017; Zbl 1390.19002) Full Text: DOI arXiv
Hutchinson, Kevin The third homology of \(\mathrm{SL}_2\) of fields with discrete valuation. (English) Zbl 1357.19003 J. Pure Appl. Algebra 221, No. 5, 1076-1111 (2017). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19D99 20J05 20G10 PDF BibTeX XML Cite \textit{K. Hutchinson}, J. Pure Appl. Algebra 221, No. 5, 1076--1111 (2017; Zbl 1357.19003) Full Text: DOI arXiv
Dimofte, Tudor; Gabella, Maxime; Goncharov, Alexander B. K-decompositions and 3d gauge theories. (English) Zbl 1390.81320 J. High Energy Phys. 2016, No. 11, Paper No. 151, 147 p. (2016). MSC: 81T13 57M50 53C05 53Z05 PDF BibTeX XML Cite \textit{T. Dimofte} et al., J. High Energy Phys. 2016, No. 11, Paper No. 151, 147 p. (2016; Zbl 1390.81320) Full Text: DOI arXiv
Mirzaii, Behrooz; Mokari, Fatemeh Y. A Bloch-Wigner theorem over rings with many units. II. (English) Zbl 1329.19002 J. Pure Appl. Algebra 219, No. 11, 5078-5096 (2015). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 19C20 20G10 PDF BibTeX XML Cite \textit{B. Mirzaii} and \textit{F. Y. Mokari}, J. Pure Appl. Algebra 219, No. 11, 5078--5096 (2015; Zbl 1329.19002) Full Text: DOI arXiv
Hutchinson, Kevin On the low-dimensional homology of \(\mathrm{SL}_2(k [t, t^{- 1}])\). (English) Zbl 1310.19004 J. Algebra 425, 324-366 (2015). Reviewer: L. N. Vaserstein (University Park) MSC: 19G99 20G10 PDF BibTeX XML Cite \textit{K. Hutchinson}, J. Algebra 425, 324--366 (2015; Zbl 1310.19004) Full Text: DOI arXiv
Hutchinson, Kevin A refined Bloch group and the third homology of \(\mathrm{SL}_2\) of a field. (English) Zbl 1281.19003 J. Pure Appl. Algebra 217, No. 11, 2003-2035 (2013). MSC: 19D55 20G10 PDF BibTeX XML Cite \textit{K. Hutchinson}, J. Pure Appl. Algebra 217, No. 11, 2003--2035 (2013; Zbl 1281.19003) Full Text: DOI arXiv Link
Goncharov, A. B. A simple construction of Grassmannian polylogarithms. (English) Zbl 1360.11077 Adv. Math. 241, 79-102 (2013). MSC: 11G55 32G13 11M32 14C30 14F42 PDF BibTeX XML Cite \textit{A. B. Goncharov}, Adv. Math. 241, 79--102 (2013; Zbl 1360.11077) Full Text: DOI arXiv
Mirzaii, Behrooz Erratum to: “Bloch-Wigner theorem over rings with many units”. (English) Zbl 1279.20060 Math. Z. 275, No. 1-2, 653-655 (2013). MSC: 20G10 19C20 19D55 19D45 20G35 PDF BibTeX XML Cite \textit{B. Mirzaii}, Math. Z. 275, No. 1--2, 653--655 (2013; Zbl 1279.20060) Full Text: DOI arXiv
Mirzaii, Behrooz Third homology of general linear groups over rings with many units. (English) Zbl 1254.14011 J. Algebra 350, No. 1, 374-385 (2012). Reviewer: Piotr Krasoń (Szczecin) MSC: 14C35 20G10 20G35 PDF BibTeX XML Cite \textit{B. Mirzaii}, J. Algebra 350, No. 1, 374--385 (2012; Zbl 1254.14011) Full Text: DOI arXiv
Bertin, Marie José Epstein zeta function and Bloch-Wigner dilogarithm. (Fonction zêta d’Epstein et dilogarithme de Bloch-Wigner.) (French. English summary) Zbl 1278.11072 J. Théor. Nombres Bordx. 23, No. 1, 21-34 (2011). MSC: 11G55 11E45 11R42 PDF BibTeX XML Cite \textit{M. J. Bertin}, J. Théor. Nombres Bordx. 23, No. 1, 21--34 (2011; Zbl 1278.11072) Full Text: DOI EuDML
Mirzaii, Behrooz Bloch-Wigner theorem over rings with many units. (English) Zbl 1229.20042 Math. Z. 268, No. 1-2, 329-346 (2011); erratum 275, No. 1-2, 653-655 (2013). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 20G10 19C20 19D55 19D45 20G35 PDF BibTeX XML Cite \textit{B. Mirzaii}, Math. Z. 268, No. 1--2, 329--346 (2011; Zbl 1229.20042) Full Text: DOI
Ünver, Sinan Deformations of Bloch groups and Aomoto dilogarithms in characteristic \(p\). (English) Zbl 1243.11074 J. Number Theory 131, No. 8, 1530-1546 (2011). Reviewer: Sheldon T. Joyner (Boston) MSC: 11G55 14B10 19D45 19F27 PDF BibTeX XML Cite \textit{S. Ünver}, J. Number Theory 131, No. 8, 1530--1546 (2011; Zbl 1243.11074) Full Text: DOI
Cathelineau, Jean-Louis The tangent complex to the Bloch-Suslin complex. (English) Zbl 1217.11065 Bull. Soc. Math. Fr. 135, No. 4, 565-597 (2007). MSC: 11G55 14F42 19E15 19F15 PDF BibTeX XML Cite \textit{J.-L. Cathelineau}, Bull. Soc. Math. Fr. 135, No. 4, 565--597 (2007; Zbl 1217.11065) Full Text: DOI Link
Mirzaii, Behrooz Homology of \(\mathrm{GL}_n\): injectivity conjecture for \(\mathrm{GL}_{4}\). (English) Zbl 1129.19005 Math. Ann. 340, No. 1, 159-184 (2008). MSC: 19D55 18G60 20J05 PDF BibTeX XML Cite \textit{B. Mirzaii}, Math. Ann. 340, No. 1, 159--184 (2007; Zbl 1129.19005) Full Text: DOI
Zhao, Jianqiang Goncharov’s relations in Bloch’s higher Chow group \(\text{CH}^{3}(F,5)\). (English) Zbl 1121.14007 J. Number Theory 124, No. 1, 1-25 (2007). Reviewer: James Lewis (Edmonton) MSC: 14C25 33B30 PDF BibTeX XML Cite \textit{J. Zhao}, J. Number Theory 124, No. 1, 1--25 (2007; Zbl 1121.14007) Full Text: DOI arXiv
Asakura, Masanori Surjectivity of \(p\)-adic regulators on \(K_2\) of Tate curves. (English) Zbl 1138.19001 Invent. Math. 165, No. 2, 267-324 (2006). Reviewer: Keith Johnson (Halifax) MSC: 19F27 11G20 11G55 PDF BibTeX XML Cite \textit{M. Asakura}, Invent. Math. 165, No. 2, 267--324 (2006; Zbl 1138.19001) Full Text: DOI arXiv
Knudson, Kevin P.; Walker, Mark E. Homology of linear groups via cycles in \(BG\times X\). (English) Zbl 1053.14019 J. Pure Appl. Algebra 192, No. 1-3, 187-202 (2004). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 14F42 14C25 19E15 20G10 55N91 PDF BibTeX XML Cite \textit{K. P. Knudson} and \textit{M. E. Walker}, J. Pure Appl. Algebra 192, No. 1--3, 187--202 (2004; Zbl 1053.14019) Full Text: DOI arXiv
Cathelineau, Jean-Louis Scissors congruences and the bar and cobar constructions. (English) Zbl 1037.52012 J. Pure Appl. Algebra 181, No. 2-3, 141-179 (2003). Reviewer: Ruth Kellerhals (Fribourg) MSC: 52B45 18G35 20J05 PDF BibTeX XML Cite \textit{J.-L. Cathelineau}, J. Pure Appl. Algebra 181, No. 2--3, 141--179 (2003; Zbl 1037.52012) Full Text: DOI
Zhao, Jianqiang Motivic complexes of weight three and pairs of simplices in projective 3-space. (English) Zbl 1042.19003 Adv. Math. 161, No. 2, 141-208 (2001). Reviewer: Burt Totaro (MR 2003a:11080) MSC: 19F27 11G55 19E15 14F42 14C35 PDF BibTeX XML Cite \textit{J. Zhao}, Adv. Math. 161, No. 2, 141--208 (2001; Zbl 1042.19003) Full Text: DOI Link
Neumann, Walter D.; Yang, Jun Bloch invariants of hyperbolic \(3\)-manifolds. (English) Zbl 0943.57008 Duke Math. J. 96, No. 1, 29-59 (1999). Reviewer: Lixin Liu (Guangzhou) MSC: 57N10 30F40 19E99 19F27 57M50 PDF BibTeX XML Cite \textit{W. D. Neumann} and \textit{J. Yang}, Duke Math. J. 96, No. 1, 29--59 (1999; Zbl 0943.57008) Full Text: DOI arXiv
Goncharov, Alexander Volumes of hyperbolic manifolds and mixed Tate motives. (English) Zbl 0919.11080 J. Am. Math. Soc. 12, No. 2, 569-618 (1999). Reviewer: B.Z.Moroz (Bonn) MSC: 11R70 11G40 19F27 51M10 51M25 PDF BibTeX XML Cite \textit{A. Goncharov}, J. Am. Math. Soc. 12, No. 2, 569--618 (1999; Zbl 0919.11080) Full Text: DOI arXiv
Elbaz-Vincent, Philippe The indecomposable \(K_3\) of rings and homology of \(\text{SL}_2\). (English) Zbl 0926.19001 J. Pure Appl. Algebra 132, No. 1, 27-71 (1998). Reviewer: Dominique Arlettaz (Lausanne) MSC: 19D55 20G10 18G60 19D50 PDF BibTeX XML Cite \textit{P. Elbaz-Vincent}, J. Pure Appl. Algebra 132, No. 1, 27--71 (1998; Zbl 0926.19001) Full Text: DOI
Cathelineau, Jean-Louis Remarques sur les différentielles des polylogarithmes uniformes. (Remarks on the differentials of the uniform polylogarithms.). (French) Zbl 0861.19003 Ann. Inst. Fourier 46, No. 5, 1327-1347 (1996). MSC: 19F27 11R70 PDF BibTeX XML Cite \textit{J.-L. Cathelineau}, Ann. Inst. Fourier 46, No. 5, 1327--1347 (1996; Zbl 0861.19003) Full Text: DOI Numdam EuDML
Kolster, Manfred; Nguyen Quang Do, Thong; Fleckinger, Vincent Twisted \(S\)-units, \(p\)-adic class number formulas, and the Lichtenbaum conjectures. (English) Zbl 0863.19003 Duke Math. J. 84, No. 3, 679-717 (1996). Reviewer: Cornelius Greither (Laval) MSC: 19F27 11R42 11R34 11R23 PDF BibTeX XML Cite \textit{M. Kolster} et al., Duke Math. J. 84, No. 3, 679--717 (1996; Zbl 0863.19003) Full Text: DOI
De Jeu, Rob Zagier’s conjecture and wedge complexes in algebraic \(K\)-theory. (English) Zbl 0868.19002 Compos. Math. 96, No. 2, 197-247 (1995). Reviewer: M.Kolster (Hamilton/Ontario) MSC: 19F15 11R70 14C35 11R42 PDF BibTeX XML Cite \textit{R. De Jeu}, Compos. Math. 96, No. 2, 197--247 (1995; Zbl 0868.19002) Full Text: Numdam EuDML