SHERP

The product structure on loop homology
루프 호모로지의 연산구조

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Authors
조명신
Advisor
Otto van Koert
Major
자연과학대학 수리과학부
Issue Date
2018
Publisher
서울대학교 대학원
Description
학위논문 (석사)-- 서울대학교 대학원 : 자연과학대학 수리과학부, 2018. 8. Otto van Koert.
Abstract
In this paper, we survey the result of R. Cohen and J. Jones on the Chas-Sullivan product.

Briefly, Cohen and Jones precisely defined the Chas-Sullivan product using ring spectra,

and show that the Chas-Sullivan product coincides with the cup product structure on the

Hochschild cohomology of the cochain complex of the base manifold. In the sequel paper,

they introduce a loop homology spectral sequence and compute the algebra structure on

the free loop space of spheres and complex projective spaces.
Language
Korean
URI
http://hdl.handle.net/10371/144226
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College of Natural Sciences (자연과학대학)Dept. of Mathematical Sciences (수리과학부)Theses (Master's Degree_수리과학부)
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