An intrinsic construction of the core of Casson's invariant

Wolfgang Pitsch[1]

  • [1] Université de Lausanne, Institut de Mathématiques, Bâtiment de Chimie BCH, 1015 Lausanne (Suisse)

Annales de l’institut Fourier (2001)

  • Volume: 51, Issue: 6, page 1741-1761
  • ISSN: 0373-0956

Abstract

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We give a new cohomological construction of the core of Casson's invariant and give a new computation of its values on the generators of the Johnson subgroup of the mapping class group.

How to cite

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Pitsch, Wolfgang. "Une construction intrinsèque du cœur de l'invariant de Casson." Annales de l’institut Fourier 51.6 (2001): 1741-1761. <http://eudml.org/doc/115966>.

@article{Pitsch2001,
abstract = {Nous donnons une nouvelle construction cohomologique du cœur de l'invariant de Casson et nous donnons un nouveau calcul de ses valeurs sur les générateurs du sous- groupe de Johnson du mapping class group.},
affiliation = {Université de Lausanne, Institut de Mathématiques, Bâtiment de Chimie BCH, 1015 Lausanne (Suisse)},
author = {Pitsch, Wolfgang},
journal = {Annales de l’institut Fourier},
keywords = {Casson invariant; Torelli group; mapping class group},
language = {fre},
number = {6},
pages = {1741-1761},
publisher = {Association des Annales de l'Institut Fourier},
title = {Une construction intrinsèque du cœur de l'invariant de Casson},
url = {http://eudml.org/doc/115966},
volume = {51},
year = {2001},
}

TY - JOUR
AU - Pitsch, Wolfgang
TI - Une construction intrinsèque du cœur de l'invariant de Casson
JO - Annales de l’institut Fourier
PY - 2001
PB - Association des Annales de l'Institut Fourier
VL - 51
IS - 6
SP - 1741
EP - 1761
AB - Nous donnons une nouvelle construction cohomologique du cœur de l'invariant de Casson et nous donnons un nouveau calcul de ses valeurs sur les générateurs du sous- groupe de Johnson du mapping class group.
LA - fre
KW - Casson invariant; Torelli group; mapping class group
UR - http://eudml.org/doc/115966
ER -

References

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  12. S. Morita, Families of Jacobian Manifolds and Characteristic Classes of Surface Bundles 1, Ann. Inst. Fourier 39 (1989), 777-810 Zbl0672.57015MR1030850
  13. J. Nielsen, Untesuchungen zur Topologie der geschlossenen zweiseitigen Flächen I, Acta Math. 50 (1927), 189-358 Zbl53.0545.12
  14. W. Pitsch, Un calcul élémentaire de H 2 ( ℳ g , 1 , ℤ ) pour g ≥ 4 , C.R.A.S., Sér. 1 Math. 329 (1999) MR1724094
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