Lagrangian shadows and triangulated categories/ Paul Biran, Octav Cornea and Egor Shelukhin
Material type:
TextSeries: Asterisque ; 426Publication details: Paris: Societe Mathematique de France, 2021Description: 130 pages, 24 cmISBN: - 9782856299401
- 23 514.72 B617
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 514.72 B617 (Browse shelf(Opens below)) | Available | C26760 |
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| 514.72 As798 Foliations : | 514.72 B423 Foliations and geometric structures | 514.72 B617 Morse theoretic methods in nonlinear analysis and in symplectic topology | 514.72 B617 Lagrangian shadows and triangulated categories/ | 514.72 B751 Differential forms in algebraic topology | 514.72 B751 Differential forms in algebraic topology | 514.72 B894 Birational geometry of foliations / |
Includes bibliographical references
Under certain assumptions (such as weak exacteness or monotonicity) we show that splitting Lagrangians through cobordism has an energy cost and, from this cost being smaller than certain explicit bounds, we deduce some strong forms of rigidity of Lagrangian intersections. As a consequence, we construct some new pseudo-metrics and metrics on certain classes of Lagrangian submanifolds. We also fit these constructions in a more general setting, independent of Lagrangian cobordism. As a main technical tool, we develop aspects of the theory of (weakly) filtered A-infinity categories.
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