TY - JOUR
T1 - Deligne products of line bundles over moduli spaces of curves
AU - Weng, L.
AU - Zagier, D.
N1 - Funding Information:
Partially supported by the Japan Society for the Promotion of Science. Open Access
PY - 2008/8
Y1 - 2008/8
N2 - We study Deligne products for forgetful maps between moduli spaces of marked curves by offering a closed formula for tautological line bundles associated to marked points. In particular, we show that the Deligne products for line bundles on the total spaces corresponding to "forgotten" marked points are positive integral multiples of the Weil-Petersson bundles on the base moduli spaces.
AB - We study Deligne products for forgetful maps between moduli spaces of marked curves by offering a closed formula for tautological line bundles associated to marked points. In particular, we show that the Deligne products for line bundles on the total spaces corresponding to "forgotten" marked points are positive integral multiples of the Weil-Petersson bundles on the base moduli spaces.
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U2 - 10.1007/s00220-008-0494-5
DO - 10.1007/s00220-008-0494-5
M3 - Article
AN - SCOPUS:45849136728
VL - 281
SP - 793
EP - 803
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 3
ER -