Michael Batanin

Associate Professor

1987 …2019

Research output per year

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Research Outputs

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Article
2019

Polynomial monads and delooping of mapping spaces

Batanin, M. A. & De Leger, F., 2019, In : Journal of Noncommutative Geometry. 13, 4, p. 1521-1576 56 p.

Research output: Contribution to journalArticle

2018

Regular patterns, substitudes, feynman categories and operads

Batanin, M., Kock, J. & Weber, M., 19 Feb 2018, In : Theory and Applications of Categories. 33, 6-7, p. 148-192 45 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)
2017

An operadic proof of Baez-Dolan stabilization hypothesis

Batanin, M. A., Jul 2017, In : Proceedings of the American Mathematical Society. 145, 7, p. 2785-2798 14 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Homotopy theory for algebras over polynomial monads

Batanin, M. A. & Berger, C., 6 Feb 2017, In : Theory and Applications of Categories. 32, 6, p. 148-253 106 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2015

Operadic categories and duoidal Deligne's conjecture

Batanin, M. & Markl, M., 5 Nov 2015, In : Advances in Mathematics. 285, p. 1630-1687 58 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2014

Crossed interval groups and operations on the Hochschild cohomology

Batanin, M. & Markl, M., 2014, In : Journal of Noncommutative Geometry. 8, 3, p. 655-693 39 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
2013

Multitensor lifting and strictly unital higher category theory

Batanin, M., Cisinski, D. C. & Weber, M., 23 Sep 2013, In : Theory and Applications of Categories. 28, p. 804-856 53 p.

Research output: Contribution to journalArticle

Open Access
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4 Citations (Scopus)
20 Downloads (Pure)
2012

Centers and homotopy centers in enriched monoidal categories

Batanin, M. & Markl, M., Jul 2012, In : Advances in Mathematics. 230, 4-6, p. 1811-1858 48 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)
2011

Algebras of higher operads as enriched categories

Batanin, M. & Weber, M., Feb 2011, In : Applied Categorical Structures. 19, 1, p. 93-135 43 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)
2010

Locally constant n-operads as higher braided operads

Batanin, M. A., 2010, In : Journal of Noncommutative Geometry. 4, 2, p. 237-263 27 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Polynomial functors and opetopes

Kock, J., Joyal, A., Batanin, M. & Mascari, J. F., Aug 2010, In : Advances in Mathematics. 224, 6, p. 2690-2737 48 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2009

The lattice path operad and Hochschild cochains

Batanin, M. A. & Berger, C., 2009, In : Contemporary mathematics. 504, p. 23-52 30 p.

Research output: Contribution to journalArticle

2008

The Eckmann-Hilton argument and higher operads

Batanin, M. A., 15 Jan 2008, In : Advances in Mathematics. 217, 1, p. 334-385 52 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2007

Symmetrisation of n-operads and compactification of real configuration spaces

Batanin, M. A., 1 Jun 2007, In : Advances in Mathematics. 211, 2, p. 684-725 42 p.

Research output: Contribution to journalArticle

20 Citations (Scopus)
2002

On the Penon method of weakening algebraic structures

Batanin, M. A., 9 Jul 2002, In : Journal of Pure and Applied Algebra. 172, 1, p. 1-23 23 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
2000

The universal property of the multitude of trees

Batanin, M. & Street, R., 1 Dec 2000, In : Journal of Pure and Applied Algebra. 154, 1-3, p. 3-13 11 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)
1998

Computads for finatory monads on globular sets

Batanin, M. A., 1998, In : Contemporary mathematics. 230, p. 37-58 21 p.

Research output: Contribution to journalArticle

Homotopy coherent category theory and a∞-structures in monoidal categories

Batanin, M. A., Jan 1998, In : Journal of Pure and Applied Algebra. 123, 1-3, p. 67-103 37 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

Monoidal Globular Categories As a Natural Environment for the Theory of Weakn-Categories

Batanin, M. A., 1 Jun 1998, In : Advances in Mathematics. 136, 1, p. 39-103 65 p.

Research output: Contribution to journalArticle

101 Citations (Scopus)
1997

Categorical strong shape theory

Batanin, M. A., 1997, In : Cahiers de topologie et géométrie différentielle catégoriques. 38, 1, p. 3-66 64 p.

Research output: Contribution to journalArticle

1990

Strong and weak shape equivalences of metric compacta

Batanin, M. A., May 1990, In : Siberian Mathematical Journal. 31, 3, p. 369-373 5 p.

Research output: Contribution to journalArticle

1987

Mappings of spectral sequences and the generalized homotopy axiom

Batanin, M. A., Sep 1987, In : Siberian Mathematical Journal. 28, 5, p. 709-716 8 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)