Sign (di)lemma for dimension shifting

Nitsure, Nitin (2009) Sign (di)lemma for dimension shifting Proceedings of the Indian Academy of Sciences - Mathematical Sciences, 119 (2). pp. 179-186. ISSN 0253-4142

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Official URL: http://ns1.ias.ac.in/mathsci/vol119/apr2009/PM-08-...

Related URL: http://dx.doi.org/10.1007/s12044-009-0018-z

Abstract

There is a surprising occurrence of some minus signs in the isomorphisms produced in the well-known technique of dimension shifting in calculating derived functors in homological algebra. We explicitly determine these signs. Getting these signs right is important in order to avoid basic contradictions. We illustrate the result - which we call as the sign lemma for dimension shifting - by some de Rham cohomology and Chern class considerations for compact Riemann surfaces.

Item Type:Article
Source:Copyright of this article belongs to Indian Academy of Sciences.
Keywords:Abelian Categories; Derived Functors; Dimension Shifting
ID Code:24802
Deposited On:30 Nov 2010 09:12
Last Modified:17 May 2016 08:24

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