An explicit symmetric DGLA model of a bi-gon-Reference-Cited by-同舟云学术

An explicit symmetric DGLA model of a bi-gon

Published:2019-10 Issue:11 Volume:28 Page:1940008
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Gadish Nir¹,Griniasty Itay²,Lawrence Ruth³

Affiliation:

1. Department of Mathematics, University of Chicago, 5734 S. University Avenue, Chicago, IL 60637-1514, USA

2. Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot 7610001, Israel

3. Einstein Institute of Mathematics, Hebrew University, Jerusalem 91904, Israel

Abstract

We give explicit formulae for a DGLA model of the bi-gon which is symmetric under the geometric symmetries of the cell. This follows the work of Lawrence–Sullivan on the (unique) DGLA model of the interval and its construction uses deeper knowledge of the structure of such models and their localizations for nonsimply connected spaces.

Funder

United States-Israel Binational Science Foundation

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021821651940008X

Reference8 articles.

1. Maurer–Cartan Elements in the Lie Models of Finite Simplicial Complexes

2. A new proof of the Baker-Campbell-Hausdorff formula

3. A formula for topology/deformations and its significance

4. The importance of being discrete: Life always wins on the surface

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