Noncommutativity of monotone Lagrangian cobordisms
Vardan Oganesyan
TL;DR
This paper constructs specific monotone spin Lagrangian cobordisms in CP^7, demonstrating noncommutativity in their composition, which reveals new insights into the structure of Lagrangian cobordisms.
Contribution
It introduces a method to distinguish the order of Lagrangian cobordisms, showing they are not always commutative in the monotone spin setting.
Findings
Constructed a monotone spin Lagrangian cobordism from L to (L_1, L_2)
Proved no such cobordism exists from L to (L_2, L_1)
Revealed noncommutativity property in Lagrangian cobordisms
Abstract
We construct a monotone spin Lagrangian cobordism from L to (L_1, L_2) such that there is no monotone spin Lagrangian cobordism from L to (L_2, L_1), where L, L_1, L_2 are Lagrangians of CP^7.
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Taxonomy
TopicsGeometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology · Advanced Operator Algebra Research