The homotopy type of the cobordism category

The homotopy type of the cobordism category

The embedded cobordism category under study in this paper generalizes the category of conformal surfaces, introduced by G. Segal in [S2] in order to formalize the concept of field theories. Our main result identifies the homotopy type of the classifying space of the embedded d-dimensional cobordism...

Cur síos iomlán

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Galatius, S, Madsen, I, Tillmann, U, Weiss, M
Formáid:	Journal article
Teanga:	English
Foilsithe / Cruthaithe:	2009

Míreanna comhchosúla

The classifying space of the 1+1 dimensional cobordism category
de réir: Tillmann, U
Foilsithe / Cruthaithe: (1996)

Localisations of cobordism categories and invertible TFTs in dimension two
de réir: Juer, R, et al.
Foilsithe / Cruthaithe: (2013)

A note on the (∞,n)-category of cobordisms
de réir: Calaque, D, et al.
Foilsithe / Cruthaithe: (2019)

String diagrams for traced and compact categories are oriented 1-cobordisms
de réir: Spivak, David I, et al.
Foilsithe / Cruthaithe: (2019)

1 + 1 dimensional cobordism categories and invertible TQFT for Klein surfaces
de réir: Juer, R
Foilsithe / Cruthaithe: (2012)

Fusion Categories and Homotopy Theory
de réir: Etingof, Pavel I., et al.
Foilsithe / Cruthaithe: (2011)

Modules over algebraic cobordism
de réir: Elden Elmanto, et al.
Foilsithe / Cruthaithe: (2020-01-01)

Looking for structure in the cobordism conjecture
de réir: David Andriot, Nils Carqueville, Niccolò Cribiori
Foilsithe / Cruthaithe: (2022-09-01)

Algebraic Cobordism [electronic resources]/
de réir: 359511 Levine, Marc, et al.
Foilsithe / Cruthaithe: (2007)

The relation of cobordism to K-theories/
de réir: Conner, P. E. (Pierre E.), 1932-
Foilsithe / Cruthaithe: (1966)

Aspects of dynamical cobordism in AdS/CFT
de réir: Jesús Huertas, et al.
Foilsithe / Cruthaithe: (2023-08-01)

A note on cobordisms of algebraic knots
de réir: Bodnár, J, et al.
Foilsithe / Cruthaithe: (2017)

Divisibility of the stable Miller-Morita-Mumford classes
de réir: Galatius, S, et al.
Foilsithe / Cruthaithe: (2006)

Dynamical Cobordism and Swampland Distance Conjectures
de réir: Ginevra Buratti, et al.
Foilsithe / Cruthaithe: (2021-10-01)

At the end of the world: Local Dynamical Cobordism
de réir: Roberta Angius, et al.
Foilsithe / Cruthaithe: (2022-06-01)

On the homotopy of the stable mapping class group
de réir: Tillmann, U
Foilsithe / Cruthaithe: (1997)

Cobordism and bubbles of anything in the string landscape
de réir: Bjoern Friedrich, et al.
Foilsithe / Cruthaithe: (2024-02-01)

Dimensional Reduction of Cobordism and K-theory
de réir: Ralph Blumenhagen, et al.
Foilsithe / Cruthaithe: (2023-03-01)

Cobordism, singularities and the Ricci flow conjecture
de réir: David Martín Velázquez, et al.
Foilsithe / Cruthaithe: (2023-01-01)

Knot cobordisms, bridge index, and torsion in Floer homology
de réir: Juhász, A, et al.
Foilsithe / Cruthaithe: (2020)

Homotopy cartesian squares in extriangulated categories
de réir: He Jing, et al.
Foilsithe / Cruthaithe: (2023-03-01)

Six model categories for directed homotopy
de réir: Philippe Gaucher
Foilsithe / Cruthaithe: (2021-07-01)

Morita homotopy theory of C*-categories
de réir: DellʼAmbrogio, Ivo, et al.
Foilsithe / Cruthaithe: (2016)

Spin cobordism and the gauge group of type I/heterotic string theory
de réir: Christian Kneißl
Foilsithe / Cruthaithe: (2025-01-01)

Toric 2-group anomalies via cobordism
de réir: Joe Davighi, et al.
Foilsithe / Cruthaithe: (2023-07-01)

Open-closed correspondence of K-theory and cobordism
de réir: Ralph Blumenhagen, et al.
Foilsithe / Cruthaithe: (2022-08-01)

Cobordism conjecture, anomalies, and the String Lamppost Principle
de réir: Miguel Montero, et al.
Foilsithe / Cruthaithe: (2021-01-01)

n-relative categories: a model for the homotopy theory of n-fold homotopy theories
de réir: Kan, D. M., et al.
Foilsithe / Cruthaithe: (2014)

Compactness results for pseudo-holomorphic curves in symplectic cobordisms
de réir: Young, Carmen M
Foilsithe / Cruthaithe: (2016)

Relative global dimensions and stable homotopy categories
de réir: Liang, Li, et al.
Foilsithe / Cruthaithe: (2020-07-01)

Homotopy Category of Cotorsion Flat Representations of Quivers
de réir: Hossein Eshraghi
Foilsithe / Cruthaithe: (2020-12-01)

A¹-homotopy invariants of dg orbit categories
de réir: Trigo Neri Tabuada, Goncalo Jorge
Foilsithe / Cruthaithe: (2018)

The homotopy category of simply connected 4-manifolds /
de réir: Baues, Hans-Joachim, 1943-, et al.
Foilsithe / Cruthaithe: (2003)

Symplectic instanton homology: naturality, and maps from cobordisms
de réir: Cazassus, G
Foilsithe / Cruthaithe: (2019)

Dynamical Cobordism Conjecture: solutions for end-of-the-world branes
de réir: Ralph Blumenhagen, et al.
Foilsithe / Cruthaithe: (2023-05-01)

Anomalies of non-Abelian finite groups via cobordism
de réir: Joe Davighi, et al.
Foilsithe / Cruthaithe: (2022-09-01)

On the infinite loop spaces of algebraic cobordism and the motivic sphere
de réir: Tom Bachmann, et al.
Foilsithe / Cruthaithe: (2021-05-01)

Cobordisms of sutured manifolds and the functoriality of link Floer homology
de réir: Juhász, A
Foilsithe / Cruthaithe: (2016)

Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories
de réir: Antonio M. Cegarra
Foilsithe / Cruthaithe: (2020-06-01)

Multivariable signatures, genus bounds and 0.5-solvable cobordisms
de réir: Conway, A, et al.
Foilsithe / Cruthaithe: (2019)