Publications of Nariya KAWAZUMI
Folding surface bundles of genus 2, J.Fac.Sci.Univ.Tokyo Ser.IA
36 (1989), 9-16.
On the homotopy type of the moduli space of n-point sets of P^1,
J.Fac.Sci.Univ.Tokyo Ser.IA 37 (1990), 263-287.
The invariant differential forms on the Teichmuller space under the
Fenchel-Nielsen flows, J. Math. Soc. Japan 44 (1992),
217-237.
On the complex analytic Gel'fand-Fuks cohomology of Riemann
surfaces, Ann. Inst. Fourier 43(1993), 655-712.
An infinitesimal approach to the stable cohomology of the moduli of
Riemann surfaces, in: Topology and Teichmuller Spaces, World
Scientific, Singapore.(1996), 79--100.
(with S. Morita) The primary approximation to the cohomology of the
moduli space of curves and cocycles for the stable cohomology
classes, Math. Research Lett. 3 (1996), 629-641.
Homology of hyperelliptic mapping class groups for surfaces,
Topology and its appl. 76 (1997), 203--216.
A generalization of the Morita-Mumford classes of extended mapping
class groups for surfaces, Invent. math. 131 (1998),
137--149.
(with T. Uemura) Riemann-Hurwitz formula for Morita-Mumford classes
and surface symmetries, Kodai Math. J. 21 (1998), 372--380.
(with Y. Shibukawa) The meromorphic solutions of the
Bruschi-Calogero equation, Publ. RIMS Kyoto Univ. 36(2000),
85--109.
(with T. Akita and T. Uemura) Periodic surface automorphisms and
algebraic independence of Morita-Mumford classes, J. Pure Appl. Alg.
160(2001), 1--11.
Weierstrass points and Morita-Mumford classes on hyperelliptic
mapping class groups, Topology and its appl. 125(2002),
363--383.
Twisted Morita-Mumford classes on braid groups, Geometry &
Topology Monographs 13(2008), 293--306. (preprint arXiv: math.GT/0606102)
(with T. Akita) Integral Riemann-Roch formulae for cyclic subgroups
of mapping class groups, Math. Proc. Camb. Phil. Soc. 144(2008),
411--421. (preprint arXiv: math.GT/0612380)
On the stable cohomology algebra of extended mapping class groups
for surfaces, Advanced Studies in Pure Mathematics (Groups of
Diffeomorphisms), 52 (2008)
383--400. (old
version) (old version)
(with A. J. Bene and R. C. Penner) Canonical lifts of the Johnson
homomorphisms to the Torelli groupoid, Adv. Math., 221(2009) 627--659. (preprint
arXiv: 0707.2984)
(with Y. Kuno) The logarithms of Dehn twists, Quantum Topology, 5 (2014) 347--423. (preprint,
arXiv: 1008.5017
(2010), UTMS preprint: 2010–12)
(with Y. Kuno) The center of the Goldman Lie algebra of a surface of
infinite genus, Quarterly J. Math., 64 (2013) 1167--1190. (preprint, arXiv: 1009.4985 (2010), UTMS
preprint: 2010-20)
(with T. Ishida) The Lie algebra of rooted planar trees, Hokkaido
Math. J., 42 (2013)
397--416. (preprint, arXiv: 1105.4713 (2011), UTMS
preprint: 2011-14)
(with Y. Kuno and K. Toda) Generators of the homological Goldman Lie
algebra, Osaka J. Math. 51
(2014) 665--671. (preprint, arXiv: 1207.4572 (2012))
Surface topology and involutive bimodules, RIMS Kokyuroku Besssatsu
B48 (2014) 1--23. (preprint,
arXiv: 1301.1398
(2013))
(with Y. Kuno) Intersections of curves on surfaces and their
applications to mapping class groups, Ann. Inst. Fourier 65 (2015) 2711--2762.
(preprint, arXiv: 1112.3481
(2011))
A tensorial description of the Turaev cobracket on genus 0 compact
surfaces, RIMS Kokyuroku Bessatsu B66 (2017) 1--13.
(preprint: arXiv:1506.03174)
(with A. Alekseev, Y. Kuno and F. Naef) Higher genus
Kashiwara-Vergne problems and the Goldman-Turaev Lie bialgebra,
C. R. Acad. Sci. Paris, Ser. I. 355 (2017) 123--127.
(preprint, arXiv: 1611:05581)
(with S. Fukuhara and Y. Kuno) Self-intersections of curves on a
surface and Bernoulli numbers, Osaka Journal of Mathematics, 55
(2018) 761--768. preprint: arXiv:1505.04840
(with A. Alekseev, Y. Kuno and F. Naef) The Goldman-Turaev Lie
bialgebra in genus zero and the Kashiwara-Vergne problem, Adv.
Math., 326(2018) 1--53.
(preprint: arXiv:1703.05813)
The mapping class group orbits in the framings of compact surfaces,
Quarterly J. Math., 69 (2018) 1287--1302. (preprint: arXiv:1703.02258 (2017))
(with A. Alekseev, Y. Kuno and F. Naef) Goldman-Turaev formality
implies Kashiwara-Vergne, Quantum Topology, 11(2020)
657--689. (preprint: arXiv: 1812.01159 (2018))
(with C. Vespa) On the wheeled PROP of stable cohomology of Aut(F_n)
with bivariant coefficients, Alg. Geom. Top., 23:7 (2023)
3089–3128 (preprint: arXiv: 2105.14497 (2021))
A twisted invariant of a compact Riemann surface, in:
`Essays on Geometryf,
edited by M. Uludag and A. Zeytin., Springer, (2025) pp.47-64
(preprint: arXiv: 2210.00532
(2022))
(with Arthur Soulie) Stable twisted cohomology of the mapping class
groups in the unit tangent bundle homology,
Bull. Lond. Math. Soc. 56 (2024), no. 11, 3358-3381.(preprint:
arXiv: 2211.02793
(2022)) https://doi.org/10.1112/blms.13137
All the above articles are
refereed.
Preprints
An application of the second Riemann continuation theorem to
cohomology of the Lie algebra of vector fields on the complex line,
preprint: UTMS 93-18 (1993)= arXiv: math.KT/0508390(2005)
Moduli space and complex analytic Gel'fand-Fuks cohomology of
Riemann surfaces, preprint UTMS 93-29 (1993) pp.0-30,
pp.31-60.
(Warning: The constructioin of cohomology classes on the moduli is
not complete.)
(with S. Morita) The primary approximation to the cohomology of the
moduli space of curves and cocycles for the Mumford-Morita-Miller
classes, preprint: UTMS 2001-13(2001)
Cohomological aspects of Magnus expansions, preprint: UTMS
2005-18 = arXiv: math.GT/0505497(2005)
Harmonic Magnus Expansion on the Universal Family of Riemann
Surfaces, arXiv: math.GT/0603158(2006)
Johnson's homomorphisms and the Arakelov-Green function, arXiv: 0801.4218 (2008)
(with Y. Kuno) Groupoid-theoretical methods in the mapping class
groups of surfaces, arXiv: 1109.6479 (2011), UTMS
preprint: 2011–28
(with A. Alekseev, Y. Kuno and F. Naef) The Goldman-Turaev Lie
bialgebra and the Kashiwara-Vergne problem in higher genera, arXiv:
1804.09566 (2018)
(with Arthur Soulie) Stable twisted cohomology of the mapping class
groups in the exterior powers of the unit tangent bundle homology,
arXiv: 2311.01791 (2023)
A topological proof of Wolpert's formula for the Weil-Petersson
symplectic form in terms of the Fenchel-Nielsen coordinates, arXiv:
2408.04937
(2024)
Non refereed articles
Some algebraic aspects of the Turaev cobracket,
`Topology and Geometry', edited by A. Papadopoulos, EMS Publishing
House, Zurich, 2021, pp. 329--356.
(preprint arXiv: 1904.06686)
(with Y. Kuno) The Goldman-Turaev Lie bialgebra and the Johnson
homomorphisms, `Handbook of Teichmueller theory', edited by A.
Papadopoulos, Volume V, EMS Publishing House, Zurich, 2015, pp.
98--165. (preprint arXiv: 1304.1885
)
Canonical 2-forms on the moduli space of Riemann surfaces, `Handbook
of Teichmueller theory', edited by A. Papadopoulos, Volume II, EMS
Publishing House, Zurich, 2009, pp. 217--237. (preprint arXiv: 0708.4271)
A regular homotopy version of the Goldman-Turaev Lie bialgebra, the
Enomoto-Satoh traces and the divergence cocycle in the
Kashiwara-Vergne problem, RIMS Kokyuroku 1936
(2015) pp. 137--141. (arXiv: 1406.0056 (2014))
Harmonic Magnus expansions, Stasheff
associahedrons and Morita-Mumford classes,(written in
Japanese)
An extended absract for an invited address in Topology Session at
the annual meeting of the Mathematical Society of Japan, Tsukuba
University on March 31, 2004.
HARMONIC MAGNUS EXPANSION ON THE
UNIVERSAL FAMILY OF RIEMANN SURFACES,(written in English)
March, 2006.
The
logarithms of Dehn twists, (written in English)
December, 2010
Slides
A
geometric approach to the higher Johnson homomorphisms,
(written in English)
slides for a talk in the workshop
`Analysis and Geometry of Discrete Groups and Hyperbolic Spaces'
RIMS, Kyoto University, December 13, 2011.
This talk is based on joint papers (arXiv:1109.6479
and 1112.348)
with Yusuke Kuno.
Johnson-Morita theory and the Goldman-Turaev Lie bialgebras
(part
I), (part
II), (written in English)
slides for a mini-course in the workshop
`Mapping
class groups and quantum topology'
IRMA, University of Strasbourg, June 25 - 27, 2012.
Part II is based on joint papers (arXiv:1109.6479
and 1112.348)
with Yusuke Kuno.
Mapping
class groups and the Goldman-Turaev Lie bialgebra, (written in
English)
silides for a talk in the conference `GAAGTA',
Kunming University of Science and Technology, July 26, 2012.
This talk is based on joint papers (arXiv:1109.6479
and 1112.348)
with Yusuke Kuno.
The
completed Goldman-Turaev Lie bialgebra and mapping class groups,
(written in English)
slides for a talk in the JSPS/CNRS joint seminar
`Aspects of representation theory in low-dimensional topology and
3-dimensional invariants',
Club vacanciel, Carry-le-Rouet, November 6, 2012.
This talk is based on a joint work with
Yusuke Kuno.
The
Goldman-Turaev
Lie
bialgebra
and
the
largest Torelli group, (written in English)
slides for a talk in the conference
`Advances
in Teichmueller Theory',
Erwin Schroedinger Institute, Universitaet Wien, February 5, 2013.
This talk is based on a joint work with Yusuke Kuno.
An infinitesimal version of the
Dehn-Nielsen theorem, (written in English)
slides for a talk in the conference
`Teichmueller
Theory: quantization and relations with physics',
Erwin Schroedinger Institute, Universitaet Wien, April 17, 2013.
This talk is based on a joint work with Yusuke Kuno.
The
Goldman-Turaev
Lie bialgebra and the mapping class group, (written in
English)
slides for a talk at
Caltech
Geometry and Topology Seminar,
California Institute of Technology, September 18, 2013.
This talk is based on a joint work with Yusuke Kuno.
The
Goldman-Turaev
Lie
bialgebra
and
the
mapping
class
group,
(written in English except the cover page) slides for a talk at
The 9-th AAG
seminar,
Kagoshima University, February 20, 2014.
This talk is based on a joint work with Yusuke Kuno.
A tensorial description of the Turaev cobracket on genus 0 compact
surfaces,
slides for a short communication at the Topology Session, the annual
meeting
of the Mathematical Society of Japan, at Meiji University, March 23,
2015.
The
Kashiwara- Vergne problem and the Goldman-Turaev Lie bialgebra, I
slide for a talk at
gWorkshop
on Grothendieck-Teichmueller Theoriesh,
Chern Institute of Mathematics, Nankai University, July 28, 2016.
Please see also this
page.
All bundles constantly aspire towards the condition of vector
bundles.