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Research talks;Algebra;Logic and Foundations;Topology

In the first part, we describe the canonical model structure on the category of strict $\omega$-categories and how it transfers to related subcategories. We then characterize the cofibrant objects as $\omega$-categories freely generated by polygraphs and introduce the key notion of polygraphic resolution. Finally, by considering a monoid as a particular $\omega$-category, this polygraphic point of view will lead us to an alternative definition of monoid homology, which happens to coincide with the usual one. In the first part, we describe the canonical model structure on the category of strict $\omega$-categories and how it transfers to related subcategories. We then characterize the cofibrant objects as $\omega$-categories freely generated by polygraphs and introduce the key notion of polygraphic resolution. Finally, by considering a monoid as a particular $\omega$-category, this polygraphic point of view will lead us to an alternative definition ...

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Documents Critères de recherche : "Homology" | enregistrements trouvés : 144

Homotopy theory of strict $\omega$-categories and its connections with homology of monoids - Lecture 1 Métayer, François | CIRM H Nouveau

The $\mathbb{L}^ \bullet$-Homology fundamental class for singular spaces and the stratified Novikov conjecture Banagl, Markus | CIRM H Nouveau

Virtual fundamental cycles and contact homology Pardon, John | CIRM H Nouveau

A hitchhiker's guide to Khovanov homology - Part I Turner, Paul | CIRM H Nouveau

Intersection cohomology :notes of a seminar on intersection homology held during spring at the university of bern Borel, A. | Birkhäuser Verlag 1984 Nouveau

Introduction a l'algebre homologique Maranda, Jean-Marie | Les Presse de l'Université de Montréal 1966 Nouveau

K-theory and homological algebraa seminar held at the razmadze mathematical institute in tbilisi Inassaridze, H. | Springer-Verlag 1990 Nouveau

Index theory and operator algebras :proceedings of a CBMS regional conference on K-homology and index theory at the University of Colorado#Aug. 6-10 Fox, Jeffrey ; Haskell, Peter | American Mathematical Society 1993 Nouveau

Set theoretic methods in homological algebra and Abelian groups. Eklof, Paul C. | Les Presse de l'Université de Montréal 1980 Nouveau

Homological invariants of modules over commutative rings Roberts, Paul | Les Presse de l'Université de Montréal 1980 Nouveau

Topics in the homology theory of fibre bundleslectures given at the university of Chicago, 1954 notes by Edward Halpern Borel, Armand | Springer-Verlag 1967 Nouveau

Seminar on triples and categorical homology theory, ETH 1966-67 Appelgate, H. ; Barr, Michael ; Beck, Jozsef ; Eckmann, B. | Springer-Verlag 1969 Nouveau

Category theory, homology theory and their applications IIIproceedings of the conference held at the Seattle Research Center of the Battelle Memorial InsituteJune 24 - July 19 | Springer-Verlag 1969 Nouveau

Category theory, homology theory and their applications Iproceedings of the conference held at the Seattle Research Center of the Memorial InstituteJune 24 - July 19 | Springer-Verlag 1969 Nouveau

Category theory, homology theory and their applications II :proceedings of the conference held at the Seattle Research Center of the Memorial InstituteJune 24 - July 19 | Springer-Verlag 1969 Nouveau

Floer homology, Gauge theory, and low-dimensional topology :proceedings of the clay mathematics institute 2004 summer school#July 5-26 Ellwood, David A. ; Ozsvath, S. ; Stipsicz, Andras i. ; Szabo, Zoltan | American Mathematical Society 2006 Nouveau

Lectures on functor homology.Series of lectures held at the conference on functor homologyNantes # April, 2012 Franjou, Vincent ; Touzé, Antoine | Birkhäuser 2015 Nouveau

Physics and mathematics of link homology.Séminaire de mathématiques supérieures, physics and mathematics of link homologyMontréal # June 24 - July 5, 2013 Gukov, Sergei ; Khovanov, Mikhail ; Walcher, Johannes | American Mathematical Society;Centre De Recherches Mathematiques 2016 Nouveau

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Intersection cohomology :
notes of a seminar on intersection homology held during spring at the university of bern Borel, A. | Birkhäuser Verlag 1984 Nouveau

K-theory and homological algebra
a seminar held at the razmadze mathematical institute in tbilisi Inassaridze, H. | Springer-Verlag 1990 Nouveau

Index theory and operator algebras :
proceedings of a CBMS regional conference on K-homology and index theory at the University of Colorado#Aug. 6-10 Fox, Jeffrey ; Haskell, Peter | American Mathematical Society 1993 Nouveau

Topics in the homology theory of fibre bundles
lectures given at the university of Chicago, 1954 notes by Edward Halpern Borel, Armand | Springer-Verlag 1967 Nouveau

Category theory, homology theory and their applications III
proceedings of the conference held at the Seattle Research Center of the Battelle Memorial Insitute
June 24 - July 19 | Springer-Verlag 1969 Nouveau

Category theory, homology theory and their applications I
proceedings of the conference held at the Seattle Research Center of the Memorial Institute
June 24 - July 19 | Springer-Verlag 1969 Nouveau

Category theory, homology theory and their applications II :
proceedings of the conference held at the Seattle Research Center of the Memorial Institute
June 24 - July 19 | Springer-Verlag 1969 Nouveau

Floer homology, Gauge theory, and low-dimensional topology :
proceedings of the clay mathematics institute 2004 summer school#July 5-26 Ellwood, David A. ; Ozsvath, S. ; Stipsicz, Andras i. ; Szabo, Zoltan | American Mathematical Society 2006 Nouveau

Lectures on functor homology.
Series of lectures held at the conference on functor homology
Nantes # April, 2012 Franjou, Vincent ; Touzé, Antoine | Birkhäuser 2015 Nouveau

Physics and mathematics of link homology.
Séminaire de mathématiques supérieures, physics and mathematics of link homology
Montréal # June 24 - July 5, 2013 Gukov, Sergei ; Khovanov, Mikhail ; Walcher, Johannes | American Mathematical Society;Centre De Recherches Mathematiques 2016 Nouveau