Preprints
[33] Non-acyclic Reidemeister torsions of manifolds of odd dimension, (Joint work with Koki Yanagida, Naoko Wakijo)
(Arxiv)
[32] The Dijkgraaf-Witten invariants from second Chern classes, (Arxiv)
[31] Symmetric skew-racks and cocycle invariants of closed 3-manifolds
, (Arxiv)
[27] Meta-nilpotent knot invariants and symplectic automorphism groups of free nilpotent groups, preprint
(Arxiv)
[25] An $SL_2(\R)$-Casson invariant and Reidemeister torsions, preprint,
(Arxiv)
, preprint,
Published papers
[30] Reciprocity of the Chern-Simons invariants of 3-manifolds, preprint
(Arxiv)
to appear Letters in Mathematical Physic 2024
(Journal)
[29] A solvable extended logarithm of the Johnson homomorphism, preprint
(Arxiv)
to appear
[28] Fox pairings of Poincare duality groups, preprint
(Arxiv)
to appear
(Journal)
[26] Cellular chain complexes of universal covers of some 3-manifolds,
Journal of Mathematical Sciences The University of Tokyo, Vol. 29 (2022), No. 1, Page 89-113.
(Arxiv)
(Journal Page)
(Errata)
[24] Twisted Alexander invariants of knot group representations II computation and duality,
Topology and its Applications, Available online 16 December 2020 (Journal page)
[23] Twisted Alexander invariants of knot group representations, Tokyo J. Math. Advance Publication 1-22 (2021).
(Journal page)
[22] Schur Multipliers and Second Quandle Homology,
(joint work with R. P. Bakshi, D. Kunkel, S. Mukherjee, and J. H. Przytycki)
Journal of Algebra, Volume 552, 15 June 2020, Pages 52-67
(Journal page)
)
[21] Meta-nilpotent quotients of mapping-torus groups and two topological invariants of quadratic forms,
Osaka J. Math. 58(2): 351--365 (April 2021).
,
(Errata)
[20] de Rham theory and cocycles of cubical sets from smooth quandles,
Kodai Mathematical Journal, Volume 42, Number 1 (2019), 111-129. (Journal page)
[19] Milnor-Orr invariants from the Kontsevich invariant,
Publications of the Research Institute for Mathematical Sciences, 56, Issue 1, 2020, pp. 173--193
[18] Twisted cohomology pairings of knots III; triple cup products, Hiroshima Math. J. 50 (2020), no. 2, 207--222,
[17] Cocycles of nilpotent quotients of free groups, (Journal page)
J. Math. Soc. Japan 2020 年 72 巻 1 号 p. 171--184
[16] Milnor invariants via unipotent Magnus embeddings (joint work with Hisatoshi Kodani), Topology and its Applications
Volume 271, 15(Journal page)
[15] On the fundamental relative 3-classes of knot group representations; Geometriae Dedicata 2019, 1--24
(Journal page)
[14] Bilinear-form invariants of Lefschetz-fibrations over the 2-sphere, Journal of Gokova Geometry Topology - Volume 11 (2017)
(Journal page)
[13] Twisted cohomology pairings of knots II; to some Blanchfield pairings, preprint
(Arxiv)
(Journal page)
[12] Twisted cohomology pairings of knots I; diagrammatic computation ,
Geometriae Dedicata (2017), 186, 1, 1--22.
(Journal page)
[11] Finite presentations of centrally extended mapping class groups,
(Journal page)
Kyushu Journal of Mathematics 73(1) ・ August 2014
[10] Central extensions of groups and adjoint groups of quandles, RIMS KOKYUROKU (2017), 167--184 2019 年 73 巻 1 号 p. 103--113
(arxiv)
[9] Longitudes in SL_2 representations of knot groups and Milnor-Witt K_2 groups of fields, Annals of K-Theory.
Vol. 2 (2017), No. 2, 211--233.
(Journal page)
(Errata)
[8] Homotopical interpretation of link invariants from finite quandles
, Topology Appl. 193 (2015) 1--30.
(Journal page)
(Errata)
[7] On third homologies of group and of quandle via the Dijkgraaf-Witten invariant and Inoue-Kabaya map, AGT 14 (2014) 2655--2692.
(arxiv)
[6] Quandle cocycles from invariant theory, Advances in Mathematics, 2013, 245, pp 423-438,
(Journal page)
[5]
Quandle homotopy invariants of knotted surfaces, Mathematische Zeitschrift
2013, 274, pp 341-365,
(Journal page)
[4] Some topological aspects of 4-fold symmetric quandle invariants of 3-manifolds
,(joint work with Eri Hatakenaka), Int. J. Math. 23 (2012), [31 pages]
(Journal page)
[3] 4-fold symmetric quandle invariants of 3-manifolds, Algebraic and Geometric Topology 11 (2011) 1601-1648.
(Journal page)
[2] On quandle homology groups of
Alexander quandles of prime order, Trans. Amer. Math. Soc. 365 (2013), 3413-3436.
(Journal page)
[1] On homotopy groups of quandle spaces and the quandle homotopy invariant of links, Topology and its Applications 158 (2011), 996-1011
(Journal page)
論文内容紹介
.
A本 "Quandles and Topological Pairs"がSpringerから出版されました。
誤植と訂正の表。誤植が多々あって申し訳ありません。
E-mail: nosaka[At mark]math.kyushu-u.ac.jp