TY - JOUR

T1 - Morita cohomology

AU - Holstein, Julian V. S.

N1 - https://www.cambridge.org/core/journals/mathematical-proceedings-of-the-cambridge-philosophical-society/article/morita-cohomology/B502DE5454CD1379BCA7F8D1FFE085B8 The final, definitive version of this article has been published in the Journal, Mathematical Proceedings of the Cambridge Philosophical Society, 158 (1), pp 1-26 2015, © 2015 Cambridge University Press.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - We consider two categorifications of the cohomology of a topological space X by taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in perfect complexes of chains on the loop space of X.

AB - We consider two categorifications of the cohomology of a topological space X by taking coefficients in the category of differential graded categories. We consider both derived global sections of a constant presheaf and singular cohomology and find the resulting dg-categories are quasi-equivalent and moreover quasi-equivalent to representations in perfect complexes of chains on the loop space of X.

KW - math.AT

KW - math.CT

U2 - 10.1017/S0305004114000516

DO - 10.1017/S0305004114000516

M3 - Journal article

VL - 158

SP - 1

EP - 26

JO - Mathematical Proceedings of the Cambridge Philosophical Society

JF - Mathematical Proceedings of the Cambridge Philosophical Society

SN - 0305-0041

IS - 1

ER -