Takefumi NOSAKA's Page                

Name: Takefumi NOSAKA

Affiliation: Department of Mathematics, Tokyo Institute of Technology (Link)

Present Position: Associate Professor

Research Area: Low dimensional topology (especially, quandle, knots, 3-dimensional manifold)

Curriculum Vitae

Book or article

    "Quandles and Topological Pairs - Symmetry, Knots, and Cohomology " published from Springer Brief        Erata

    Research papers : (Abstracts [1--8])

    [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,

    [31] Symmetric skew-racks and cocycle invariants of closed 3-manifolds , (Arxiv)

    [30] Reciprocity of the Chern-Simons invariants of 3-manifolds, preprint (Arxiv)

    [29] A solvable extended logarithm of the Johnson homomorphism, preprint (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,

    [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, to appear Osaka Journal of Mathematics , (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)

    [10] Central extensions of groups and adjoint groups of quandles, RIMS KOKYUROKU (2017), 167--184 (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)

    [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, Volume 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, [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)

    Slides in some talks : (Click)

    Japanese Page . 简体字的网页 .
    E-mail: nosaka[at mark]math[period]titech.ac.jp