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Lagrangian shadows and triangulated categories / Paul Biran, Octav Cornea, Egor Shelukhin.
Math/Physics/Astronomy Library QA1 .A85 v.426
Available
Math/Physics/Astronomy Library QA3 .L282 1968/1969-2019/2021
Available
LIBRA QA3 .L282 no.901 (1980/1981)
Available from offsite location
Math/Physics/Astronomy Library QA1 .A85 1,4-6,9-11,13-15,18-35,38-68,71-91,94-95,97-99,101-103/104,107/108-115,117-118,123-132, 135-144,147-160,163-178,181-258,261-370,372-393,400-404,406-425,427-462
Mixed Availability
- Format:
- Book
- Author/Creator:
- Biran, Paul, author.
- Cornea, O. (Octavian), 1966- author.
- Shelukhin, Egor, author.
- Series:
- Astérisque ; 0303-1179 426.
- Astérisque, 0303-1179 ; numéro 426, 2021
- Language:
- English
- French
- Subjects (All):
- Lagrange spectrum.
- Triangulated categories.
- Physical Description:
- 128 pages : color illustrations ; 24 cm.
- Contained In:
- Astérisque 426
- Place of Publication:
- Paris, France : Société Mathématique de France, 2021.
- Language Note:
- Text in English, with abstracts in English and French.
- Summary:
- We introduce new metrics on spaces of Lagrangian submanifolds, not necessarily in a fixed Hamiltonian isotopy class. Our metrics arise from measurements involving Lagrangian cobordisms. We also show that splitting Lagrangians through cobordism has an energy cost and, from this cost being smaller than certain explicit bounds, we deduce some forms of rigidity of Lagrangian intersections. We also fit these constructions in the more general algebraic setting of triangulated categories, independent of Lagrangian cobordism. As a main technical tool, we develop aspects of the theory of (weakly) filtered A∞-categories.
- Notes:
- Includes bibliographical references (pages [125]-128).
- Current Copyright Fee: GBP22.50 0.
- ISBN:
- 9782856299401
- 2856299407
- OCLC:
- 1283994773
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