Lefschetz fibrations on adjoint orbits - PMA

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Most interesting part of the proof Lemma x is a singular point for fH if and only if x ∈ O (H0) ∩ h = W · H0, where W is the Weyl group. Elizabeth Gasparim <strong>Lefschetz</strong> <strong>fibrations</strong> on adjoint orbits
What I think we proved Theorem The Fukaya category for the Landau–Ginzburg model (O(H0), fH) has at least as many generators as the Weyl group of G. Proof. By the fundamental lemma of Picard–<strong>Lefschetz</strong> theory, to every singularity of the <strong>Lefschetz</strong> fibration there corresponds at least one vanishing cycle. for me details, and applications to HMS... Elizabeth Gasparim <strong>Lefschetz</strong> <strong>fibrations</strong> on adjoint orbits
Page 1 and 2: Lefschetz
Page 3 and 4: Motivation I want to explain the mo
Page 5 and 6: Motivation I want to explain the mo
Page 7 and 8: Mirror Symmetry for Calabi-Yaus To
Page 9 and 10: This is NOT the Hodge diamond Toric
Page 11 and 12: Basic Hodge Theory Theorem (Hodge D
Page 17 and 18: The Hodge Diamond h n,n h n,n−1 h
Page 19 and 20: Amusing consequence of the classica
Page 21 and 22: Example 1: Smooth Elliptic Curve h
Page 23 and 24: Example 3: Hodge Diamond of a CY th
Page 25 and 26: Hodge Diamonds of Mirror Pairs h n,
Page 27 and 28: Mirror Symmetry is a duality For ou
Page 29 and 30: Known cases of the HMS conjecture T
Page 31 and 32: AKO Mirror of a Del Pezzo Surface T
Page 33 and 34: Vanishing cycle - mathematician’s
Page 35 and 36: Fukaya category A category whose ob
Page 37 and 38: Fukaya-Seidel category Definition T
Page 39 and 40: Monodromy representation Since X \
Page 41 and 42: Symplectic Lefschetz</stron
Page 43 and 44: Symplectic structure on the blow-up
Page 45 and 46: A flag Elizabeth Gasparim L
Page 47 and 48: Adjoint orbit The adjoint represent
Page 49: Lefschetz

Lefschetz fibrations on adjoint orbits - PMA

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