Found 85 Documents (Results 1–85)
Segal conditions for generalized operads. (English) Zbl 07915448
Kaufmann, Ralph M. (ed.) et al., Higher structures in topology, geometry, and physics. AMS special session, virtual, March 26–27, 2022. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 802, 161-194 (2024).
A cocyclic construction of \(S^1\)-equivariant homology and application to string topology. (English) Zbl 07902535
Categorifying equivariant monoids. (English) Zbl 1542.18017
Reviewer: Hirokazu Nishimura (Tsukuba)
Outer functors and a general operadic framework. (English) Zbl 07804813
Reviewer: Hirokazu Nishimura (Tsukuba)
Categories of graphs for operadic structures. (English) Zbl 1537.18026
Reviewer: Loïc Foissy (Calais)
Labelled cospan categories and properads. (English) Zbl 1527.18020
Reviewer: Donald Yau (Newark)
On the universal Drinfeld-Yetter algebra. arXiv:2404.16786
Preprint, arXiv:2404.16786 [math.CO] (2024).
The Leibniz PROP is a crossed presimplicial algebra. arXiv:2404.10925
Preprint, arXiv:2404.10925 [math.CT] (2024).
Bivariant operadic categories. arXiv:2402.12963
Preprint, arXiv:2402.12963 [math.CT] (2024).
String diagrams for layered explanations. (English) Zbl 07813639
Master, Jade (ed.) et al., Proceedings of the fifth international conference on applied category theory, ACT 2022, Glasgow, United Kingdom, July 18–22, 2022. Waterloo: Open Publishing Association (OPA). Electron. Proc. Theor. Comput. Sci. (EPTCS) 380, 362-382 (2023).
The diagonal of cellular spaces and effective algebro-homotopical constructions. (English) Zbl 1532.55015
On the wheeled PROP of stable cohomology of \(\mathrm{Aut}(F_n)\) with bivariant coefficients. (English) Zbl 1530.20101
Reviewer: Egle Bettio (Venezia)
From gravity to string topology. (English) Zbl 1535.18034
Reviewer: Najib Idrissi (Paris)
Lie graph homology model for \(\mathfrak{grt}_1\). (English) Zbl 1518.55007
Reviewer: Daniel Graves (Leeds)
Corrigendum to: “Graphical combinatorics and a distributive law for modular operads”. (English) Zbl 1512.18013
Minimal models for graph-related (hyper)operads. (English) Zbl 1510.18007
Reviewer: Loïc Foissy (Calais)
Balanced infinitesimal bialgebras, double Poisson gebras and pre-Calabi-Yau algebras. arXiv:2312.14893
Preprint, arXiv:2312.14893 [math.QA] (2023).
Weight 2 cohomology of graph complexes of cyclic operads and the handlebody group. arXiv:2308.16845
Preprint, arXiv:2308.16845 [math.QA] (2023).
The free Eggert-operad and an operadic description of groups. arXiv:2305.01854
Preprint, arXiv:2305.01854 [math.KT] (2023).
Modular operads as modules over the Brauer properad. (English) Zbl 1533.18016
Reviewer: Hirokazu Nishimura (Tsukuba)
Moment categories and operads. (English) Zbl 1505.18004
Reviewer: Hirokazu Nishimura (Tsukuba)
The modular Dirac equation. (English) Zbl 1515.83182
From non-unitary wheeled PROPs to smooth amplitudes and generalised convolutions. (English) Zbl 1505.18027
Reviewer: Donald Yau (Newark)
A combinatorial \(E_\infty\)-algebra structure on cubical cochains and the Cartan-Serre map. (English. French summary) Zbl 1512.55013
Reviewer: Daniel Graves (Leeds)
Pathlike co/bialgebras and their antipodes with applications to bi- and Hopf algebras appearing in topology, number theory and physics. (English) Zbl 1497.18031
Reviewer: Laurent Poinsot (Villetaneuse)
Protoperads. I: Combinatorics and definitions. (English) Zbl 1506.18024
Reviewer: Najib Idrissi (Paris)
Massey products for graph homology. (English) Zbl 1493.18020
Reviewer: Marja Kankaanrinta (Helsinki)
Coextension of scalars in operad theory. (English) Zbl 1493.18017
Reviewer: Donald Yau (Newark)
Twisted arrow categories, operads and Segal conditions. (English) Zbl 1484.18008
Reviewer: Hirokazu Nishimura (Tsukuba)
A knot-theoretic approach to comparing the Grothendieck-Teichmüller and Kashiwara-Vergne groups. arXiv:2211.11370
Preprint, arXiv:2211.11370 [math.QA] (2022).
The equifibered approach to \(\infty\)-properads. arXiv:2211.02576
Preprint, arXiv:2211.02576 [math.AT] (2022).
Planar Prop of Differential Operators. arXiv:2204.11297
Preprint, arXiv:2204.11297 [math.AG] (2022).
Pre-Calabi–Yau algebras and homotopy double Poisson gebras. arXiv:2203.05062
Preprint, arXiv:2203.05062 [math.QA] (2022).
Dessins for modular operads and the Grothendieck-Teichmüller group. (English) Zbl 1476.18011
Papadopoulos, Athanase (ed.), Topology and geometry. A collection of essays dedicated to Vladimir G. Turaev. Berlin: European Mathematical Society. IRMA Lect. Math. Theor. Phys. 33, 537-560 (2021).
Graphical combinatorics and a distributive law for modular operads. (English) Zbl 1477.18043
Adv. Math. 392, Article ID 108011, 87 p. (2021); corrigendum ibid. 422, Article ID 109000, 5 p. (2023).
Reviewer: Ittay Weiss (Portsmouth)
A practical type theory for symmetric monoidal categories. (English) Zbl 1474.18031
Reviewer: Antonin Delpeuch (Oxford)
Multi-directed graph complexes and quasi-isomorphisms between them. II. Sourced graphs. (English) Zbl 1470.05069
Circuit algebras are wheeled props. (English) Zbl 1479.18018
Reviewer: Donald Yau (Newark)
MSC:
18M85
Brauer diagrams, modular operads, and a graphical nerve theorem for circuit algebras. arXiv:2108.04557
Preprint, arXiv:2108.04557 [math.CT] (2021).
A combinatorial PROP for bialgebras. arXiv:2106.13107
Preprint, arXiv:2106.13107 [math.CT] (2021).
The smash product of monoidal theories. arXiv:2101.10361
Preprint, arXiv:2101.10361 [math.CT] (2021).
Homological algebra related to surfaces with boundary. (English) Zbl 1468.18022
Reviewer: Marek Golasiński (Olsztyn)
A finitely presented \(E_{\infty}\)-prop. I: Algebraic context. (English) Zbl 1459.55010
Reviewer: Ittay Weiss (Portsmouth)
PROPs for involutive monoids and involutive bimonoids. (English) Zbl 1455.16030
Reviewer: Hirokazu Nishimura (Tsukuba)
Modular operads and the nerve theorem. (English) Zbl 1482.18014
Reviewer: Ittay Weiss (Portsmouth)
MSC:
18M85
A graphical category for higher modular operads. (English) Zbl 1437.18015
Reviewer: Marja Kankaanrinta (Helsinki)
Multi-directed graph complexes and quasi-isomorphisms between them. I: Oriented graphs. (English) Zbl 1434.05156
Quantizing deformation theory. II. (English) Zbl 1436.14026
Reviewer: Simon Felten (Mainz)
Higher coherence and a generalization of higher categorified algebraic structures. arXiv:2012.14042
Preprint, arXiv:2012.14042 [math.CT] (2020).
ProPs of graphs and generalised traces. arXiv:2005.02115
Preprint, arXiv:2005.02115 [math.CO] (2020).
Nonsymmetric operads in combinatorics. (English) Zbl 1515.05002
Cham: Springer (ISBN 978-3-030-02073-6/hbk; 978-3-030-02074-3/ebook). ix, 172 p. (2018).
Properads and homological differential operators related to surfaces. (English) Zbl 1474.18035
MSC:
18M85
Monoidal multiplexing. (English) Zbl 1518.68198
Fischer, Bernd (ed.) et al., Theoretical aspects of computing – ICTAC 2018. 15th international colloquium, Stellenbosch, South Africa, October 16–19, 2018. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11187, 116-131 (2018).
A simplicial model for infinity properads. (English) Zbl 1426.18005
Reviewer: Martina Rovelli (Baltimore)
Feynman categories. (English) Zbl 1434.18001
Astérisque 387. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-852-7/pbk). vii, 161 p. (2017).
Reviewer: Najib Idrissi (Paris)
The homotopy theory of simplicial props. (English) Zbl 1386.18055
Reviewer: Donald Yau (Newark)
MSC:
18G55
Confluence of graph rewriting with interfaces. (English) Zbl 1485.68124
Yang, Hongseok (ed.), Programming languages and systems. 26th European symposium on programming, ESOP 2017, held as part of the European joint conferences on theory and practice of software, ETAPS 2017, Uppsala, Sweden, April 22–29, 2017. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 10201, 141-169 (2017).
Function spaces and classifying spaces of algebras over a PROP. (English) Zbl 1352.18004
Reviewer: Björn Gohla (Lisboa)
Moduli operad over \(\mathbb F_1\). (English) Zbl 1428.18035
Thas, Koen (ed.), Absolute arithmetic and \(\mathbb{F}_1\)-geometry. Zürich: European Mathematical Society (EMS). 331-361 (2016).
Lawvere categories as composed PROPs. (English) Zbl 1475.18028
Hasuo, Ichiro (ed.), Coalgebraic methods in computer science. 13th IFIP WG 1.3 international workshop, CMCS 2016, colocated with ETAPS 2016, Eindhoven, The Netherlands, April 2–3, 2016. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 9608, 11-32 (2016).
Full abstraction for signal flow graphs. (English) Zbl 1346.68143
Proceedings of the 42nd ACM SIGPLAN-SIGACT symposium on principles of programming languages, POPL ’15, Mumbai, India, January 12–18, 2015. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3300-9). 515-526 (2015).
Classifying spaces of algebras over a prop. (English) Zbl 1315.18025
Reviewer: Jiří Rosický (Brno)
MSC:
18G55
18D50
Wheeled props in algebra, geometry and quantization. (English) Zbl 1207.18010
Ran, André (ed.) et al., European congress of mathematics. Proceedings of the 5th ECM congress, Amsterdam, Netherlands, July 14–18, 2008. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-077-7/hbk). 83-114 (2010).
Reviewer: S. Moskaliuk (Kyiv)
Wheeled pro(p)file of Batalin-Vilkovisky formalism. (English) Zbl 1228.17019
Reviewer: Benoît Fresse (Villeneuve d’Ascq)
Graph complexes with loops and wheels. (English) Zbl 1245.53061
Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Y. I. Manin on the occasion of his 70th birthday. Vol. II. Boston, MA: Birkhäuser (ISBN 978-0-8176-4746-9/hbk; 978-0-8176-4747-6/ebook). Progress in Mathematics 270, 311-354 (2009).
PROPped-up graph cohomology. (English) Zbl 1208.18008
Tschinkel, Yuri (ed.) et al., Algebra, arithmetic, and geometry. In honor of Y. I. Manin on the occasion of his 70th birthday. Vol. II. Boston, MA: Birkhäuser (ISBN 978-0-8176-4746-9/hbk; 978-0-8176-4747-6/ebook). Progress in Mathematics 270, 249-281 (2009).
Reviewer: Benoît Fresse (Villeneuve d’Ascq)
Free monoid in monoidal abelian categories. (English) Zbl 1200.18003
MSC:
18D10
18D50
Wheeled PROPs, graph complexes and the master equation. (English) Zbl 1175.18002
Reviewer: Georges Hoff (Villetaneuse)
MSC:
18D50
18G55
Operads and PROPs. (English) Zbl 1211.18007
Hazewinkel, M. (ed.), Handbook of algebra. Volume 5. Amsterdam: Elsevier/Noth-Holland (ISBN 978-0-444-53101-8/hbk). Handbook of Algebra 5, 87-140 (2008).
Reviewer: Florin Nicolae (Berlin)
MSC:
18D50
18-02
Lectures on props, Poisson geometry and deformation quantization. (English) Zbl 1149.53049
Dito, Giuseppe (ed.) et al., Poisson geometry in mathematics and physics. Proceedings of the international conference, Tokyo, Japan, June 5–9, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4423-6/pbk). Contemporary Mathematics 450, 223-257 (2008).
Reviewer: Angela Gammella-Mathieu (Metz)
Moduli space actions on the Hochschild co-chains of a Frobenius algebra. I: Cell operads. (English) Zbl 1145.55008
Reviewer: John McCleary (Poughkeepsie)
Generalized enrichments of categories for operads. (English) Zbl 1120.18006
Reviewer: Serguei V. Solov’ev (Toulouse)
On quantization functors of Lie bialgebras. (English) Zbl 1015.17007
Reviewer: Sorin Dascalescu (Safat)
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