Path homology theory of multigraphs and quivers-Reference-Cited by-同舟云学术

Path homology theory of multigraphs and quivers

Published:2018-09-01 Issue:5 Volume:30 Page:1319-1337
ISSN:1435-5337
Container-title:Forum Mathematicum
language:
Short-container-title:

Author:

Grigor’yan Alexander¹,Muranov Yuri²,Vershinin Vladimir³,Yau Shing-Tung⁴

Affiliation:

1. Mathematics Department, University of Bielefeld, Postfach 100131, 33501Bielefeld, Germany; and Institute of Control Sciences of Russian Academy of Sciences, Moscow, Russia

2. Faculty of Mathematics and Computer Science, University of Warmia and Mazury, Sloneczna 54 Street, 10-710Olsztyn, Poland

3. Département des Sciences Mathématiques, Université de Montpellier, Place Eugéne Bataillon, 34095Montpelliercedex 5, France; and Sobolev Institute of Mathematics, Novosibirsk 630090, Russia

4. Department of Mathematics, Harvard University, Cambridge, MA 02138, USA

Abstract

AbstractWe construct a new homology theory for the categories of quivers and multigraphs and describe the basic properties of introduced homology groups. We introduce a conception of homotopy in the category of quivers and we prove the homotopy invariance of homology groups.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/forum-2018-0015/pdf

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