Exact triangle for fibered Dehn twists

被引:0
作者
Katrin Wehrheim
Chris T. Woodward
机构
[1] University of California,Department of Mathematics
[2] Berkeley,Department of Mathematics
[3] Rutgers University,undefined
来源
Research in the Mathematical Sciences | / 3卷
关键词
Exact Triangle; Dehn Twist; Khovanov Rozansky; Moduli Space; Minimal Maslov Number;
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摘要
We use quilted Floer theory to generalize Seidel’s long exact sequence in symplectic Floer theory to fibered Dehn twists. We then apply the sequence to construct versions of the Floer and Khovanov–Rozansky exact triangles in Lagrangian Floer theory of moduli spaces of bundles.
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[1]  
Abouzaid M(2012)Framed bordism and Lagrangian embeddings of exotic spheres Ann. Math. (2) 175 71-185
[2]  
Alekseev A(1998)Lie group valued moment maps J. Differ. Geom. 48 445-495
[3]  
Malkin A(1982)The Yang–Mills equations over Riemann surfaces Philos. Trans. R. Soc. Lond. Ser. A 308 523-615
[4]  
Meinrenken E(1969)Picard–Lefschetz theorem for families of nonsingular algebraic varieties acquiring ordinary singularities Trans. Am. Math. Soc. 136 93-108
[5]  
Atiyah MF(1956)Valeurs critiques et algèbres spectrales d’une application Ann. Math. 63 437-490
[6]  
Bott R(2005)Derived category automorphisms from mirror symmetry Duke Math. J. 127 1-34
[7]  
Clemens CH(2000)A categorification of the Jones polynomial Duke Math. J. 101 359-426
[8]  
Fáry I(2002)A functor-valued invariant of tangles Algebr. Geom. Topol. 2 665-741
[9]  
Paul Horja R(2008)Matrix factorizations and link homology Fund. Math. 199 1-91
[10]  
Khovanov M(2000)Structure of the image of (pseudo)-holomorphic discs with totally real boundary condition Commun. Anal. Geom. 8 31-82