Deformations and L∞-algebras of Fréchet type

Arjen Geert Baarsma

Deformations and L∞-algebras of Fréchet type

Arjen Geert Baarsma

Fundamental mathematics

Research output: Thesis › Doctoral thesis 2 (Research NOT UU / Graduation UU)

Abstract

It is often said that every deformation problem is controlled by an L∞-algebra. This turns out to be true for a large number of concrete deformation problems, but this is often demonstrated on a case-by case basis. In this thesis, we show that a large class of deformation problems can be described by infinite-dimensional topological L∞-algebras.

Original language	English
Qualification	Doctor of Philosophy
Awarding Institution	Utrecht University
Supervisors/Advisors	Crainic, Marius, Primary supervisor Cavalcanti, Gil, Co-supervisor
Award date	17 Oct 2019
Publisher	Utrecht University
Print ISBNs	978-94-6332-560-8
Publication status	Published - 17 Oct 2019

Keywords

mathematics
deformation theory
differential geometry
L∞-algebras

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abstract = "It is often said that every deformation problem is controlled by an L∞-algebra. This turns out to be true for a large number of concrete deformation problems, but this is often demonstrated on a case-by case basis. In this thesis, we show that a large class of deformation problems can be described by infinite-dimensional topological L∞-algebras.",

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AB - It is often said that every deformation problem is controlled by an L∞-algebra. This turns out to be true for a large number of concrete deformation problems, but this is often demonstrated on a case-by case basis. In this thesis, we show that a large class of deformation problems can be described by infinite-dimensional topological L∞-algebras.

KW - mathematics

KW - deformation theory

KW - differential geometry

KW - L∞-algebras

M3 - Doctoral thesis 2 (Research NOT UU / Graduation UU)

SN - 978-94-6332-560-8

PB - Utrecht University

ER -

Deformations and L∞-algebras of Fréchet type

Abstract

Keywords

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