# The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces

Michael Kapovich; John J. Millson

Compositio Mathematica (1996)

- Volume: 103, Issue: 3, page 287-317
- ISSN: 0010-437X

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topKapovich, Michael, and Millson, John J.. "The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces." Compositio Mathematica 103.3 (1996): 287-317. <http://eudml.org/doc/90473>.

@article{Kapovich1996,

author = {Kapovich, Michael, Millson, John J.},

journal = {Compositio Mathematica},

keywords = {relative deformation; differential graded Lie algebra; mechanical linkage; representation variety},

language = {eng},

number = {3},

pages = {287-317},

publisher = {Kluwer Academic Publishers},

title = {The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces},

url = {http://eudml.org/doc/90473},

volume = {103},

year = {1996},

}

TY - JOUR

AU - Kapovich, Michael

AU - Millson, John J.

TI - The relative deformation theory of representations and flat connections and deformations of linkages in constant curvature spaces

JO - Compositio Mathematica

PY - 1996

PB - Kluwer Academic Publishers

VL - 103

IS - 3

SP - 287

EP - 317

LA - eng

KW - relative deformation; differential graded Lie algebra; mechanical linkage; representation variety

UR - http://eudml.org/doc/90473

ER -

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- [JM] Johnson, D. and Millson, J.J.: Deformation spaces associated to compact hyperbolic manifolds, in Discrete Groups in Geometry and Analysis, Papers in Honor of G. D. Mostow on His Sixtieth Birthday, Progr. Math.67 (1987), Birkhäuser, 48-106. Zbl0664.53023MR900823
- [KM1] Kapovich, M. and Millson, J.J.: Hodge theory and the art of paper folding, preprint. Zbl0961.32026MR1442490
- [KM2] Kapovich, M. and Millson, J.J.: Bending deformations of representations of fundamental groups of two complexes of groups, in preparation.
- [KM3] Kapovich, M. and Millson, J.J.: On the deformation theory of representations of fundamental groups of compact hyperbolic 3-manifolds, to appear in Topology. Zbl0855.32013MR1404926
- [LM] Lubotzky, A. and Magid, A.: Varieties of representations of finitely-generated groups, Memoirs of the A.M.S.58, 1985. Zbl0598.14042MR818915
- [M] Millson, J.J.: Rational homotopy theory and deformation problems from algebraic geometry, Proc. Int. Congress of Math., Kyoto (1990), 549-558. Zbl0761.32011MR1159242
- [Sc] Schlessinger, M.: Functors of Artin rings, T.A.M.S.130 (1966), 208-222. Zbl0167.49503MR217093
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