TY - JOUR
T1 - Applications of braid group techniques to the decomposition of moduli spaces, new examples
AU - Robb, A.
AU - Teicher, M.
PY - 1997
Y1 - 1997
N2 - Every smooth minimal complex algebraic surface of general type, X, may be mapped into a moduli space, Mc12(X),c2(X), of minimal surfaces of general type, all of which have the same Chern numbers. Using the braid group and braid monodromy, we construct infinitely many new examples of pairs of minimal surfaces of general type which have the same Chern numbers and nonisomorphic fundamental groups. Unlike previous examples, our results include X for which |π1(X)| is arbitrarily large. Moreover, the surfaces are of positive signature. This supports our goal of using the braid group and fundamental groups to decompose Mc12(X),c2(X) into connected components.
AB - Every smooth minimal complex algebraic surface of general type, X, may be mapped into a moduli space, Mc12(X),c2(X), of minimal surfaces of general type, all of which have the same Chern numbers. Using the braid group and braid monodromy, we construct infinitely many new examples of pairs of minimal surfaces of general type which have the same Chern numbers and nonisomorphic fundamental groups. Unlike previous examples, our results include X for which |π1(X)| is arbitrarily large. Moreover, the surfaces are of positive signature. This supports our goal of using the braid group and fundamental groups to decompose Mc12(X),c2(X) into connected components.
KW - Algebraic surfaces
KW - Fundamental groups
KW - Moduli spaces
UR - http://www.scopus.com/inward/record.url?scp=0012308961&partnerID=8YFLogxK
U2 - 10.1016/s0166-8641(96)00153-8
DO - 10.1016/s0166-8641(96)00153-8
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AN - SCOPUS:0012308961
SN - 0016-660X
VL - 78
SP - 143
EP - 151
JO - Topology and its Applications
JF - Topology and its Applications
IS - 1-2
ER -