The associated map of the nonabelian Gauss-Manin connection
Open Mathematics (2012)
- Volume: 10, Issue: 4, page 1407-1421
- ISSN: 2391-5455
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topTing Chen. "The associated map of the nonabelian Gauss-Manin connection." Open Mathematics 10.4 (2012): 1407-1421. <http://eudml.org/doc/269412>.
@article{TingChen2012,
abstract = {The Gauss-Manin connection for nonabelian cohomology spaces is the isomonodromy flow. We write down explicitly the vector fields of the isomonodromy flow and calculate its induced vector fields on the associated graded space of the nonabelian Hogde filtration. The result turns out to be intimately related to the quadratic part of the Hitchin map.},
author = {Ting Chen},
journal = {Open Mathematics},
keywords = {Gauss-Manin connection; Isomonodromy flow; Hogde filtration; Hitchin map; isomonodromy flow; hogde filtration},
language = {eng},
number = {4},
pages = {1407-1421},
title = {The associated map of the nonabelian Gauss-Manin connection},
url = {http://eudml.org/doc/269412},
volume = {10},
year = {2012},
}
TY - JOUR
AU - Ting Chen
TI - The associated map of the nonabelian Gauss-Manin connection
JO - Open Mathematics
PY - 2012
VL - 10
IS - 4
SP - 1407
EP - 1421
AB - The Gauss-Manin connection for nonabelian cohomology spaces is the isomonodromy flow. We write down explicitly the vector fields of the isomonodromy flow and calculate its induced vector fields on the associated graded space of the nonabelian Hogde filtration. The result turns out to be intimately related to the quadratic part of the Hitchin map.
LA - eng
KW - Gauss-Manin connection; Isomonodromy flow; Hogde filtration; Hitchin map; isomonodromy flow; hogde filtration
UR - http://eudml.org/doc/269412
ER -
References
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