ON STABILIZERS OF SOME TEICHMÜLLER DISKS IN POINTED MAPPING CLASS GROUPS
Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 593-604
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We prove that for each Riemann surface of finite analytic type (p, n) with p ≥ 2, there exist uncountably many Teichmüller disks Δ in the Teichmüller space T(S), where S = - {a point a}, with these properties: (1) the natural projection j: T(S) → T() defined by forgetting a induces an isometric embedding of each Δ into T(); and (2) the stabilizer of each Teichmüller disk Δ in the a-pointed mapping class group of S is trivial.
ZHANG, C. ON STABILIZERS OF SOME TEICHMÜLLER DISKS IN POINTED MAPPING CLASS GROUPS. Glasgow mathematical journal, Tome 52 (2010) no. 3, pp. 593-604. doi: 10.1017/S0017089510000455
@article{10_1017_S0017089510000455,
author = {ZHANG, C.},
title = {ON {STABILIZERS} {OF} {SOME} {TEICHM\"ULLER} {DISKS} {IN} {POINTED} {MAPPING} {CLASS} {GROUPS}},
journal = {Glasgow mathematical journal},
pages = {593--604},
year = {2010},
volume = {52},
number = {3},
doi = {10.1017/S0017089510000455},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000455/}
}
TY - JOUR AU - ZHANG, C. TI - ON STABILIZERS OF SOME TEICHMÜLLER DISKS IN POINTED MAPPING CLASS GROUPS JO - Glasgow mathematical journal PY - 2010 SP - 593 EP - 604 VL - 52 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089510000455/ DO - 10.1017/S0017089510000455 ID - 10_1017_S0017089510000455 ER -
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