Fetching the paper…

Reading the bibliography…

2013

Quadratic differentials as stability conditions

Bridgeland, Tom, Smith, Ivan

Original
PDF
Post on X

Understand

We prove that moduli spaces of meromorphic quadratic differentials with simple zeroes on compact Riemann surfaces can be identified with spaces of stability conditions on a class of CY3 triangulated categories defined using quivers with potential associated to triangulated surfaces.

We relate the finite-length trajectories of such quadratic differentials to the stable objects of the corresponding stability condition.

Quadratic differentials as stability conditions · Around

Built on

O. Zariski
1929
Earlier work this paper cites.
S. Smale
1959
Earlier work this paper cites.
R. Hartshorne
1977
Earlier work this paper cites.
K. Strebel
1984
Earlier work this paper cites.
H. Masur
1986
Earlier work this paper cites.
N. Hitchin
1987
Earlier work this paper cites.
G. A. Jones and D. Singerman
1987
Earlier work this paper cites.
W. Veech
1990
Earlier work this paper cites.
A. D. King
1994
Earlier work this paper cites.
D. Happel, I. Reiten and S. Smalo
1996
Earlier work this paper cites.
P. Seidel, R.P. Thomas
2001
Earlier work this paper cites.

Similar

A. Papadopoulos
2005
Cited alongside, same era.
T. Bridgeland
2006
Cited alongside, same era.
B. Keller
2006
Cited alongside, same era.
T. Bridgeland
2007
Cited alongside, same era.
A. Fletcher and V. Markovich, Quasiconformal maps and Teichmüller theory. Oxford Graduate Texts in Mathematics, 11. Oxford University Press, Oxford, 2007. viii+189 pp
2007
Cited alongside, same era.
H. Derksen, J. Weyman and A. Zelevinsky
2008
Cited alongside, same era.
S. Fomin, M. Shapiro and D. Thurston
2008
Cited alongside, same era.

Then

D. Labardini-Fragoso
2009
Later among the works it cites.
D. Gaiotto, G. Moore and A. Neitzke
2010
Later among the works it cites.
J. Woolf
2010
Later among the works it cites.
A. Bayer and E. Macri
2011
Later among the works it cites.
B. Keller
2011
Later among the works it cites.
B. Keller and D. Yang
2011
Later among the works it cites.
G. Cerulli Irelli and D. Labardini Fragoso
2012
Later among the works it cites.
G. Cerulli Irelli, B. Keller, D. Labardini-Fragoso and P.-G. Plamondon

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

H. Masur and A. Zorich

2008

Cited alongside, same era.

T. Bridgeland

2009

Cited alongside, same era.

T. Bridgeland

2009

Cited alongside, same era.

S. Fomin and D. Thurston

Cited in the paper.

C. Geiss, D. Labardini-Fragoso and J. Schröer

Cited in the paper.

2013

Closest in time.

D. Gaiotto, G. Moore and A. Neitzke

2013

Closest in time.

T. Sutherland

2014

Closest in time.