Higher Structures Short Title: High. Struct. Publisher: Czech Academy of Sciences, Institute of Mathematics, Prague ISSN: 2209-0606/e Online: https://higher-structures.math.cas.cz/ Comments: Journal; Indexed cover-to-cover; Published electronic only as of Vol. 1, No. 1 (2017). This journal is available open access. Documents Indexed: 65 Publications (since 2017) References Indexed: 65 Publications with 2,062 References. all top 5 Latest Issues 7, No. 1 (2023) 6, No. 1 (2022) 5, No. 1 (2021) 4, No. 2 (2020) 4, No. 1 (2020) 3, No. 1 (2019) 2, No. 1 (2018) 1, No. 1 (2017) all top 5 Authors 3 Riehl, Emily 3 Verity, Dominic 2 Ara, Dimitri 2 Buchholtz, Ulrik 2 Curien, Pierre-Louis 2 Hackney, Philip 2 Medina-Mardones, Anibal M. 2 Ozornova, Viktoriya 2 Rijke, Egbert 2 Rovelli, Martina 2 Thanh, Cédric Ho 2 Yau, Donald Y. 2 Živković, Marko 1 Ayala, David 1 Bacard, Hugo V. 1 Bandiera, Ruggero 1 Bottman, Nathaniel 1 Bourke, John 1 Buckley, Mitchell 1 Bunke, Ulrich 1 Campos, Ricardo 1 Caputi, Luigi 1 Carchedi, David Joseph 1 Carmeli, Shachar 1 Christensen, J. Daniel 1 Connes, Alain 1 Consani, Caterina 1 Decoppet, Thibault D. 1 Drummond-Cole, Gabriel C. 1 Ducoulombier, Julien 1 Elliott, Chris 1 Epa, Narthana S. 1 Feller, Matthew 1 Fieremans, Timmy 1 Forest, Simon 1 Francis, John 1 Ganter, Nora 1 Griniasty, Itay 1 Guetta, Léonard 1 Harpaz, Yonatan 1 Haugseng, Rune 1 Henry, Simon 1 Herscovich, Estanislao 1 Idrissi, Najib 1 Iwanari, Isamu 1 Lack, Stephen 1 Lafont, Yves 1 Lanari, Edoardo 1 Lawrence, Ruth J. 1 Le Grignou, Brice 1 Lejay, Damien 1 Leray, Johan 1 Lucas, Maxime 1 Maltsiniotis, Georges 1 Métayer, François 1 Mihara, Tomoki 1 Mimram, Samuel 1 Morand, Kevin 1 Myers, David Jaz 1 Nuiten, Joost Jakob 1 Obradović, Jovana 1 Opie, Morgan 1 Penneys, David 1 Petersen, Dan 1 Pippi, Massimo 1 Prasma, Matan 1 Rasekh, Nima 1 Reutter, David Jakob 1 Rivera, Manuel 1 Robertson, Marcy 1 Rumynin, Dmitriy Anatol’evich 1 Safronov, Pavel 1 Schätz, Florian 1 Scoccola, Luis Nerio 1 Shulman, Michael A. 1 Stasheff, James D. 1 Street, Ross H. 1 Subramaniam, Chaitanya Leena 1 Taylor, James 1 Vasilakopoulou, Christina 1 Vercruysse, Joost 1 Vicary, Jamie 1 Waldorf, Konrad 1 Wasserman, Thomas A. 1 White, David 1 Wierstra, Felix Pieter 1 Williams, Brian R. 1 Young, Matthew B. 1 Zeinalian, Mahmoud all top 5 Fields 57 Category theory; homological algebra (18-XX) 30 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 5 Nonassociative rings and algebras (17-XX) 5 Differential geometry (53-XX) 4 Algebraic geometry (14-XX) 4 Associative rings and algebras (16-XX) 3 Combinatorics (05-XX) 3 \(K\)-theory (19-XX) 3 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 2 Manifolds and cell complexes (57-XX) 2 Quantum theory (81-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 45 Publications have been cited 206 times in 173 Documents Cited by ▼ Year ▼ Fibrations of \(\infty \)-categories. Zbl 1440.18003 Ayala, David; Francis, John 19 2020 A type theory for synthetic \(\infty\)-categories. Zbl 1437.18016 Riehl, Emily; Shulman, Michael 18 2017 Homological algebra in characteristic one. Zbl 1411.18006 Connes, Alain; Consani, Caterina 11 2019 Poisson reduction as a coisotropic intersection. Zbl 1429.17024 Safronov, Pavel 9 2017 Biunitary constructions in quantum information. Zbl 1419.18008 Reutter, David Jakob; Vicary, Jamie 9 2019 Parallel transport in principal 2-bundles. Zbl 1432.53030 Waldorf, Konrad 8 2018 Quillen cohomology of \((\infty, 2)\)-categories. Zbl 1418.55005 Harpaz, Yonatan; Nuiten, Joost Jakob; Prasma, Matan 8 2019 L-infinity and A-infinity structures: then and now. Zbl 1422.18014 Stasheff, Jim 7 2019 The comprehension construction. Zbl 1409.18021 Riehl, Emily; Verity, Dominic 6 2018 Localization in homotopy type theory. Zbl 1439.18023 Christensen, J. Daniel; Peck Opie, Morgan; Rijke, Egbert; Scoccola, Luis Nerio 6 2020 A finitely presented \(E_{\infty}\)-prop. I: Algebraic context. Zbl 1459.55010 Medina-Mardones, Anibal M. 6 2020 Unitary dual functors for unitary multitensor categories. Zbl 1457.18019 Penneys, David 6 2020 A formal language for cyclic operads. Zbl 1411.18016 Curien, Pierre-Louis; Obradović, Jovana 5 2017 Operadic categories and their skew monoidal categories of collections. Zbl 1410.18012 Lack, Stephen 5 2018 Multi-directed graph complexes and quasi-isomorphisms between them. I: Oriented graphs. Zbl 1434.05156 Živković, Marko 5 2020 A Quillen’s theorem A for strict \(\infty\)-categories. II: The \(\infty\)-categorical proof. (Un théorème A de Quillen pour les \(\infty\)-catégories strictes. II: La preuve \(\infty\)-catégorique.) Zbl 1477.18049 Ara, Dimitri; Maltsiniotis, Georges 5 2020 A finitely presented \(E_\infty\)-prop. II: Cellular context. Zbl 1481.55010 Medina-Mardones, Anibal M. 5 2021 A simplicial model for infinity properads. Zbl 1426.18005 Hackney, Philip; Robertson, Marcy; Yau, Donald 4 2017 The Cayley-Dickson construction in homotopy type theory. Zbl 1522.03039 Buchholtz, Ulrik; Rijke, Egbert 4 2018 Fundamental pushouts of \(n\)-complicial sets. Zbl 1502.18050 Ozornova, Viktoriya; Rovelli, Martina 4 2022 On lax transformations, adjunctions, and monads in \((\infty,2)\)-categories. Zbl 1483.18004 Haugseng, Rune 4 2021 An explicit symmetric DGLA model of a triangle. Zbl 1473.17048 Griniasty, Itay; Lawrence, Ruth 4 2019 Non-unital polygraphs form a presheaf category. Zbl 1427.18014 Henry, Simon 4 2019 Categories in categories, and size matters. Zbl 1411.18013 Street, Ross 3 2017 Unifying notions of pasting diagrams. Zbl 1498.18033 Forest, Simon 3 2022 Infinity category theory from scratch. Zbl 1451.18042 Riehl, Emily; Verity, Dominic 3 2020 Real representation theory of finite categorical groups. Zbl 1492.18021 Young, Matthew B. 3 2021 Holomorphic Poisson field theories. Zbl 1486.81148 Elliott, Chris; Williams, Brian R. 3 2021 Iterated algebraic injectivity and the faithfulness conjecture. Zbl 1458.18012 Bourke, John 3 2020 Platonic and alternating 2-groups. Zbl 1410.18008 Epa, Narthana; Ganter, Nora 2 2017 An operadic approach to operator-valued free cumulants. Zbl 1417.46045 Drummond-Cole, Gabriel C. 2 2018 Cubical \((\omega, p)\)-categories. Zbl 1409.18006 Lucas, Maxime 2 2018 Type theoretical approaches to opetopes. Zbl 1494.18017 Curien, Pierre-Louis; Thanh, Cédric Ho; Mimram, Samuel 2 2022 The colimit of an \(\infty \)-local system as a twisted tensor product. Zbl 1432.18013 Rivera, Manuel; Zeinalian, Mahmoud 2 2020 Quillen-Segal algebras and stable homotopy theory. Zbl 1453.18023 Bacard, Hugo 2 2020 On the étale homotopy type of higher stacks. Zbl 1493.14033 Carchedi, David 2 2021 Drinfeld centre-crossed braided categories. Zbl 1493.18012 Wasserman, Thomas A. 2 2021 \((A_\infty,2)\)-categories and relative 2-operads. Zbl 1485.18027 Bottman, Nathaniel; Carmeli, Shachar 2 2021 A closer look at Kadeishvili’s theorem. Zbl 1457.18020 Petersen, Dan 2 2020 Configuration spaces form a Segal semi-dendroidal space. Zbl 1409.55007 Hackney, Philip 1 2018 On the structure of dg-categories of relative singularities. Zbl 1505.14005 Pippi, Massimo 1 2022 Cartesian factorization systems and pointed Cartesian fibrations of \(\infty\)-categories. Zbl 1481.18031 Lanari, Edoardo 1 2021 Hopf invariants and differential forms. Zbl 1447.55014 Wierstra, Felix Pieter 1 2019 Motivic rational homotopy type. Zbl 07308121 Iwanari, Isamu 1 2020 Polygraphs and discrete Conduché \(\omega \)-functors. Zbl 1467.18044 Guetta, Léonard 1 2020 Fundamental pushouts of \(n\)-complicial sets. Zbl 1502.18050 Ozornova, Viktoriya; Rovelli, Martina 4 2022 Unifying notions of pasting diagrams. Zbl 1498.18033 Forest, Simon 3 2022 Type theoretical approaches to opetopes. Zbl 1494.18017 Curien, Pierre-Louis; Thanh, Cédric Ho; Mimram, Samuel 2 2022 On the structure of dg-categories of relative singularities. Zbl 1505.14005 Pippi, Massimo 1 2022 A finitely presented \(E_\infty\)-prop. II: Cellular context. Zbl 1481.55010 Medina-Mardones, Anibal M. 5 2021 On lax transformations, adjunctions, and monads in \((\infty,2)\)-categories. Zbl 1483.18004 Haugseng, Rune 4 2021 Real representation theory of finite categorical groups. Zbl 1492.18021 Young, Matthew B. 3 2021 Holomorphic Poisson field theories. Zbl 1486.81148 Elliott, Chris; Williams, Brian R. 3 2021 On the étale homotopy type of higher stacks. Zbl 1493.14033 Carchedi, David 2 2021 Drinfeld centre-crossed braided categories. Zbl 1493.18012 Wasserman, Thomas A. 2 2021 \((A_\infty,2)\)-categories and relative 2-operads. Zbl 1485.18027 Bottman, Nathaniel; Carmeli, Shachar 2 2021 Cartesian factorization systems and pointed Cartesian fibrations of \(\infty\)-categories. Zbl 1481.18031 Lanari, Edoardo 1 2021 Fibrations of \(\infty \)-categories. Zbl 1440.18003 Ayala, David; Francis, John 19 2020 Localization in homotopy type theory. Zbl 1439.18023 Christensen, J. Daniel; Peck Opie, Morgan; Rijke, Egbert; Scoccola, Luis Nerio 6 2020 A finitely presented \(E_{\infty}\)-prop. I: Algebraic context. Zbl 1459.55010 Medina-Mardones, Anibal M. 6 2020 Unitary dual functors for unitary multitensor categories. Zbl 1457.18019 Penneys, David 6 2020 Multi-directed graph complexes and quasi-isomorphisms between them. I: Oriented graphs. Zbl 1434.05156 Živković, Marko 5 2020 A Quillen’s theorem A for strict \(\infty\)-categories. II: The \(\infty\)-categorical proof. (Un théorème A de Quillen pour les \(\infty\)-catégories strictes. II: La preuve \(\infty\)-catégorique.) Zbl 1477.18049 Ara, Dimitri; Maltsiniotis, Georges 5 2020 Infinity category theory from scratch. Zbl 1451.18042 Riehl, Emily; Verity, Dominic 3 2020 Iterated algebraic injectivity and the faithfulness conjecture. Zbl 1458.18012 Bourke, John 3 2020 The colimit of an \(\infty \)-local system as a twisted tensor product. Zbl 1432.18013 Rivera, Manuel; Zeinalian, Mahmoud 2 2020 Quillen-Segal algebras and stable homotopy theory. Zbl 1453.18023 Bacard, Hugo 2 2020 A closer look at Kadeishvili’s theorem. Zbl 1457.18020 Petersen, Dan 2 2020 Motivic rational homotopy type. Zbl 07308121 Iwanari, Isamu 1 2020 Polygraphs and discrete Conduché \(\omega \)-functors. Zbl 1467.18044 Guetta, Léonard 1 2020 Homological algebra in characteristic one. Zbl 1411.18006 Connes, Alain; Consani, Caterina 11 2019 Biunitary constructions in quantum information. Zbl 1419.18008 Reutter, David Jakob; Vicary, Jamie 9 2019 Quillen cohomology of \((\infty, 2)\)-categories. Zbl 1418.55005 Harpaz, Yonatan; Nuiten, Joost Jakob; Prasma, Matan 8 2019 L-infinity and A-infinity structures: then and now. Zbl 1422.18014 Stasheff, Jim 7 2019 An explicit symmetric DGLA model of a triangle. Zbl 1473.17048 Griniasty, Itay; Lawrence, Ruth 4 2019 Non-unital polygraphs form a presheaf category. Zbl 1427.18014 Henry, Simon 4 2019 Hopf invariants and differential forms. Zbl 1447.55014 Wierstra, Felix Pieter 1 2019 Parallel transport in principal 2-bundles. Zbl 1432.53030 Waldorf, Konrad 8 2018 The comprehension construction. Zbl 1409.18021 Riehl, Emily; Verity, Dominic 6 2018 Operadic categories and their skew monoidal categories of collections. Zbl 1410.18012 Lack, Stephen 5 2018 The Cayley-Dickson construction in homotopy type theory. Zbl 1522.03039 Buchholtz, Ulrik; Rijke, Egbert 4 2018 An operadic approach to operator-valued free cumulants. Zbl 1417.46045 Drummond-Cole, Gabriel C. 2 2018 Cubical \((\omega, p)\)-categories. Zbl 1409.18006 Lucas, Maxime 2 2018 Configuration spaces form a Segal semi-dendroidal space. Zbl 1409.55007 Hackney, Philip 1 2018 A type theory for synthetic \(\infty\)-categories. Zbl 1437.18016 Riehl, Emily; Shulman, Michael 18 2017 Poisson reduction as a coisotropic intersection. Zbl 1429.17024 Safronov, Pavel 9 2017 A formal language for cyclic operads. Zbl 1411.18016 Curien, Pierre-Louis; Obradović, Jovana 5 2017 A simplicial model for infinity properads. Zbl 1426.18005 Hackney, Philip; Robertson, Marcy; Yau, Donald 4 2017 Categories in categories, and size matters. Zbl 1411.18013 Street, Ross 3 2017 Platonic and alternating 2-groups. Zbl 1410.18008 Epa, Narthana; Ganter, Nora 2 2017 all cited Publications top 5 cited Publications all top 5 Cited by 235 Authors 7 Medina-Mardones, Anibal M. 7 Rovelli, Martina 6 Haugseng, Rune 6 Ozornova, Viktoriya 5 Jun, Jaiung 5 Nuiten, Joost Jakob 5 Penneys, David 5 Safronov, Pavel 4 Buchholtz, Ulrik 4 Hackney, Philip 4 Rasekh, Nima 4 Riehl, Emily 4 Rowen, Louis Halle 3 Harpaz, Yonatan 3 Hebestreit, Fabian 3 Kock, Joachim 3 Markl, Martin 3 Melani, Valerio 3 Mincheva, Kalina 3 Obradović, Jovana 3 Reutter, David Jakob 3 Rijke, Egbert 3 Shulman, Michael A. 3 Verdon, Dominic 3 Verity, Dominic 2 Abellán García, Fernando 2 Angiuli, Carlo 2 Ara, Dimitri 2 Ayala, David 2 Beardsley, Jonathan 2 Bittleston, Roland 2 Bunk, Severin 2 Christensen, J. Daniel 2 Cigoli, Alan S. 2 Connes, Alain 2 Consani, Caterina 2 Coquand, Thierry 2 Curien, Pierre-Louis 2 Francis, John 2 Garner, Richard 2 Hadzihasanovic, Amar 2 Harper, Robert 2 Hou (Favonia), Kuen-Bang 2 Huston, Peter 2 Kachour, Camell 2 Kraus, Nicolai 2 Krishnan, Sanjeevi 2 Lawrence, Ruth J. 2 Lazarev, Andrey 2 Licata, Daniel R. 2 Linskens, Sil 2 Mantovani, Sandra 2 Merkulov, Sergei A. 2 Metere, Giuseppe 2 North, Paige Randall 2 Prasma, Matan 2 Sattler, Christian 2 Scoccola, Luis Nerio 2 Sheng, Yunhe 2 Steimle, Wolfgang 2 Stern, Walker H. 2 Tang, Rong 2 Tolliver, Jeffrey 2 Vicary, Jamie 2 Wasserman, Thomas A. 2 Wierstra, Felix Pieter 2 Williams, Brian R. 2 Young, Matthew B. 2 Živković, Marko 2 Zucchini, Roberto 1 Abel, Andreas M. 1 Aguilar, Konrad 1 Ahrens, Benedikt 1 Anel, Mathieu 1 Annenkov, Danil 1 Arias Abad, Camilo 1 Bacard, Hugo V. 1 Bai, Chengming 1 Baralić, Đorđe 1 Barwick, Clark 1 Basile, Thomas 1 Batanin, Michael A. 1 Ben-Moshe, Shay 1 Berger, Clemens 1 Biedermann, Georg 1 Bonatto, Luciana Basualdo 1 Bourke, John 1 Brumfiel, Greg 1 Brunerie, Guillaume 1 Calmès, Baptiste 1 Campbell, Alexander Peter 1 Capriotti, Paolo 1 Cavallo, Evan 1 Cazassus, Guillem 1 Ceulemans, Joris 1 Chen, Quan 1 Cherubini, Felix 1 Chettih, Safia 1 Chough, Chang-Yeon 1 Christian, Jessica ...and 135 more Authors all top 5 Cited in 60 Journals 12 Journal of Pure and Applied Algebra 11 Advances in Mathematics 10 Applied Categorical Structures 9 Theory and Applications of Categories 7 Communications in Mathematical Physics 7 MSCS. Mathematical Structures in Computer Science 7 Selecta Mathematica. New Series 7 Higher Structures 6 Algebraic & Geometric Topology 6 Logical Methods in Computer Science 5 Letters in Mathematical Physics 4 Compositio Mathematica 4 Proceedings of the American Mathematical Society 4 Journal of High Energy Physics 4 Journal of Homotopy and Related Structures 3 Journal of Geometry and Physics 3 Journal of Functional Analysis 2 Journal of Mathematical Physics 2 Bulletin of the London Mathematical Society 2 Journal of Algebra 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Geometry & Topology 2 Journal of Noncommutative Geometry 2 Forum of Mathematics, Sigma 2 EMS Surveys in Mathematical Sciences 2 European Journal of Mathematics 2 Categories and General Algebraic Structures with Applications 1 Israel Journal of Mathematics 1 Physics Letters. B 1 Reviews in Mathematical Physics 1 Canadian Mathematical Bulletin 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Kodai Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Transactions of the American Mathematical Society 1 Topology and its Applications 1 Annals of Pure and Applied Logic 1 Journal of the American Mathematical Society 1 Publicacions Matemàtiques 1 Forum Mathematicum 1 International Journal of Mathematics 1 Computational Geometry 1 The New York Journal of Mathematics 1 Journal of Lie Theory 1 Journal of Functional Programming 1 Journal of the European Mathematical Society (JEMS) 1 Journal of the Institute of Mathematics of Jussieu 1 Oberwolfach Reports 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Journal of Mathematics and Music 1 São Paulo Journal of Mathematical Sciences 1 Science China. Mathematics 1 Complex Manifolds 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Transactions of the American Mathematical Society. Series B 1 Journal of Applied and Computational Topology 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 34 Fields 110 Category theory; homological algebra (18-XX) 70 Algebraic topology (55-XX) 27 Quantum theory (81-XX) 23 Mathematical logic and foundations (03-XX) 23 Algebraic geometry (14-XX) 18 Nonassociative rings and algebras (17-XX) 14 Associative rings and algebras (16-XX) 13 Computer science (68-XX) 11 Functional analysis (46-XX) 11 Differential geometry (53-XX) 9 Group theory and generalizations (20-XX) 8 Manifolds and cell complexes (57-XX) 6 Combinatorics (05-XX) 6 \(K\)-theory (19-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Number theory (11-XX) 4 Field theory and polynomials (12-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Relativity and gravitational theory (83-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General algebraic systems (08-XX) 3 Topological groups, Lie groups (22-XX) 2 General and overarching topics; collections (00-XX) 2 Commutative algebra (13-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year