Browse

Homotopy cyclic A-infinity algebras, potentials and related cohomology theories
호모토피 순환 A-무한대수, 잠재함수와 코호몰로지 이론

Cited 0 time in Web of Science Cited 0 time in Scopus
Authors
이상욱
Advisor
조철현
Major
자연과학대학 수리과학부
Issue Date
2013-02
Publisher
서울대학교 대학원
Description
학위논문 (박사)-- 서울대학교 대학원 : 수리과학부, 2013. 2. 조철현.
Abstract
An A-infinity algebra has "associative up to homotopy" structure. For an A-infinity algebra $A$, we give a definition of strong homotopy inner products(if exist) which is the homotopy notion of cyclic inner products due to Kontsevich. From strong homotopy inner products we get several invariants which we call "potentials". We study their homotopy natures, gauge invariances etc. Also we find an explicit correspondence between cohomology elements of $A$ and isomorphism classes of strong homotopy inner products on $A$.
Language
English
URI
https://hdl.handle.net/10371/121257
Files in This Item:
Appears in Collections:
College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Ph.D. / Sc.D._수리과학부)
  • mendeley

Items in S-Space are protected by copyright, with all rights reserved, unless otherwise indicated.

Browse