On a certain generalization of spherical twists

Yukinobu Toda

Bulletin de la Société Mathématique de France (2007)

  • Volume: 135, Issue: 1, page 119-134
  • ISSN: 0037-9484

Abstract

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This note gives a generalization of spherical twists, and describe the autoequivalences associated to certain non-spherical objects. Typically these are obtained by deforming the structure sheaves of ( 0 , - 2 ) -curves on threefolds, or deforming ℙ -objects introduced by D.Huybrechts and R.Thomas.

How to cite

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Toda, Yukinobu. "On a certain generalization of spherical twists." Bulletin de la Société Mathématique de France 135.1 (2007): 119-134. <http://eudml.org/doc/272512>.

@article{Toda2007,
abstract = {This note gives a generalization of spherical twists, and describe the autoequivalences associated to certain non-spherical objects. Typically these are obtained by deforming the structure sheaves of $(0, -2)$-curves on threefolds, or deforming $\mathbb \{P\}$-objects introduced by D.Huybrechts and R.Thomas.},
author = {Toda, Yukinobu},
journal = {Bulletin de la Société Mathématique de France},
keywords = {derived categories; mirror symmetries},
language = {eng},
number = {1},
pages = {119-134},
publisher = {Société mathématique de France},
title = {On a certain generalization of spherical twists},
url = {http://eudml.org/doc/272512},
volume = {135},
year = {2007},
}

TY - JOUR
AU - Toda, Yukinobu
TI - On a certain generalization of spherical twists
JO - Bulletin de la Société Mathématique de France
PY - 2007
PB - Société mathématique de France
VL - 135
IS - 1
SP - 119
EP - 134
AB - This note gives a generalization of spherical twists, and describe the autoequivalences associated to certain non-spherical objects. Typically these are obtained by deforming the structure sheaves of $(0, -2)$-curves on threefolds, or deforming $\mathbb {P}$-objects introduced by D.Huybrechts and R.Thomas.
LA - eng
KW - derived categories; mirror symmetries
UR - http://eudml.org/doc/272512
ER -

References

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  12. [12] P. Seidel & R. Thomas – « Braid group actions on derived categories of coherent sheaves », Duke Math. J.108 (2001), p. 37–107. Zbl1092.14025MR1831820
  13. [13] R. Thomas – « A holomorphic casson invariant for Calabi-Yau 3-folds and bundles on K 3 -fibrations », J. Differential Geom.54 (2000), p. 367–438. Zbl1034.14015MR1818182
  14. [14] Y. Toda – « Stability conditions and crepant small resolutions », preprint, 2005, arXiv:math.AG/0512648, p. 1–25. Zbl1225.14030MR2425708

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