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...

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों:	Galatius, S, Madsen, I, Tillmann, U, Weiss, M
स्वरूप:	Journal article
भाषा:	English
प्रकाशित:	2009

समान संसाधन

The classifying space of the 1+1 dimensional cobordism category
द्वारा: Tillmann, U
प्रकाशित: (1996)

Localisations of cobordism categories and invertible TFTs in dimension two
द्वारा: Juer, R, और अन्य
प्रकाशित: (2013)

A note on the (∞,n)-category of cobordisms
द्वारा: Calaque, D, और अन्य
प्रकाशित: (2019)

String diagrams for traced and compact categories are oriented 1-cobordisms
द्वारा: Spivak, David I, और अन्य
प्रकाशित: (2019)

1 + 1 dimensional cobordism categories and invertible TQFT for Klein surfaces
द्वारा: Juer, R
प्रकाशित: (2012)

Fusion Categories and Homotopy Theory
द्वारा: Etingof, Pavel I., और अन्य
प्रकाशित: (2011)

Modules over algebraic cobordism
द्वारा: Elden Elmanto, और अन्य
प्रकाशित: (2020-01-01)

Looking for structure in the cobordism conjecture
द्वारा: David Andriot, Nils Carqueville, Niccolò Cribiori
प्रकाशित: (2022-09-01)

Algebraic Cobordism [electronic resources]/
द्वारा: 359511 Levine, Marc, और अन्य
प्रकाशित: (2007)

The relation of cobordism to K-theories/
द्वारा: Conner, P. E. (Pierre E.), 1932-
प्रकाशित: (1966)

Aspects of dynamical cobordism in AdS/CFT
द्वारा: Jesús Huertas, और अन्य
प्रकाशित: (2023-08-01)

A note on cobordisms of algebraic knots
द्वारा: Bodnár, J, और अन्य
प्रकाशित: (2017)

Divisibility of the stable Miller-Morita-Mumford classes
द्वारा: Galatius, S, और अन्य
प्रकाशित: (2006)

Dynamical Cobordism and Swampland Distance Conjectures
द्वारा: Ginevra Buratti, और अन्य
प्रकाशित: (2021-10-01)

At the end of the world: Local Dynamical Cobordism
द्वारा: Roberta Angius, और अन्य
प्रकाशित: (2022-06-01)

On the homotopy of the stable mapping class group
द्वारा: Tillmann, U
प्रकाशित: (1997)

Cobordism and bubbles of anything in the string landscape
द्वारा: Bjoern Friedrich, और अन्य
प्रकाशित: (2024-02-01)

Dimensional Reduction of Cobordism and K-theory
द्वारा: Ralph Blumenhagen, और अन्य
प्रकाशित: (2023-03-01)

Cobordism, singularities and the Ricci flow conjecture
द्वारा: David Martín Velázquez, और अन्य
प्रकाशित: (2023-01-01)

Knot cobordisms, bridge index, and torsion in Floer homology
द्वारा: Juhász, A, और अन्य
प्रकाशित: (2020)

Homotopy cartesian squares in extriangulated categories
द्वारा: He Jing, और अन्य
प्रकाशित: (2023-03-01)

Six model categories for directed homotopy
द्वारा: Philippe Gaucher
प्रकाशित: (2021-07-01)

Morita homotopy theory of C*-categories
द्वारा: DellʼAmbrogio, Ivo, और अन्य
प्रकाशित: (2016)

Spin cobordism and the gauge group of type I/heterotic string theory
द्वारा: Christian Kneißl
प्रकाशित: (2025-01-01)

Toric 2-group anomalies via cobordism
द्वारा: Joe Davighi, और अन्य
प्रकाशित: (2023-07-01)

Open-closed correspondence of K-theory and cobordism
द्वारा: Ralph Blumenhagen, और अन्य
प्रकाशित: (2022-08-01)

Cobordism conjecture, anomalies, and the String Lamppost Principle
द्वारा: Miguel Montero, और अन्य
प्रकाशित: (2021-01-01)

n-relative categories: a model for the homotopy theory of n-fold homotopy theories
द्वारा: Kan, D. M., और अन्य
प्रकाशित: (2014)

Compactness results for pseudo-holomorphic curves in symplectic cobordisms
द्वारा: Young, Carmen M
प्रकाशित: (2016)

Relative global dimensions and stable homotopy categories
द्वारा: Liang, Li, और अन्य
प्रकाशित: (2020-07-01)

Homotopy Category of Cotorsion Flat Representations of Quivers
द्वारा: Hossein Eshraghi
प्रकाशित: (2020-12-01)

A¹-homotopy invariants of dg orbit categories
द्वारा: Trigo Neri Tabuada, Goncalo Jorge
प्रकाशित: (2018)

The homotopy category of simply connected 4-manifolds /
द्वारा: Baues, Hans-Joachim, 1943-, और अन्य
प्रकाशित: (2003)

Symplectic instanton homology: naturality, and maps from cobordisms
द्वारा: Cazassus, G
प्रकाशित: (2019)

Dynamical Cobordism Conjecture: solutions for end-of-the-world branes
द्वारा: Ralph Blumenhagen, और अन्य
प्रकाशित: (2023-05-01)

Anomalies of non-Abelian finite groups via cobordism
द्वारा: Joe Davighi, और अन्य
प्रकाशित: (2022-09-01)

On the infinite loop spaces of algebraic cobordism and the motivic sphere
द्वारा: Tom Bachmann, और अन्य
प्रकाशित: (2021-05-01)

Cobordisms of sutured manifolds and the functoriality of link Floer homology
द्वारा: Juhász, A
प्रकाशित: (2016)

Cohomology of Homotopy Colimits of Simplicial Sets and Small Categories
द्वारा: Antonio M. Cegarra
प्रकाशित: (2020-06-01)

Multivariable signatures, genus bounds and 0.5-solvable cobordisms
द्वारा: Conway, A, और अन्य
प्रकाशित: (2019)