AI & ChatGPT searches , social queries for COBORDISM HYPOTHESIS
Search references for COBORDISM HYPOTHESIS. Phrases containing COBORDISM HYPOTHESIS
See searches and references containing COBORDISM HYPOTHESIS!
Search references for COBORDISM HYPOTHESIS. Phrases containing COBORDISM HYPOTHESIS
See searches and references containing COBORDISM HYPOTHESIS!COBORDISM HYPOTHESIS
Classification of topological quantum field theories
In mathematics, the cobordism hypothesis, due to John C. Baez and James Dolan, concerns the classification of extended topological quantum field theories
Cobordism_hypothesis
Topological spaces whose union is a boundary
Pontrjagin numbers and Stiefel numbers are the same. Cobordism hypothesis Cobordism ring h-cobordism Link concordance List of cohomology theories Symplectic
Cobordism
for groups with finite subgroups of unbounded order (Austin, 2009) Cobordism hypothesis (Jacob Lurie, 2008) Spherical space form conjecture (Grigori Perelman
List of unsolved problems in mathematics
List_of_unsolved_problems_in_mathematics
American mathematician (born 1977)
extended field theories using the language of infinity categories (cobordism hypothesis). In joint work with Dennis Gaitsgory, he used his non-abelian Poincaré
Jacob_Lurie
Low energy theories not compatible with string theory
can be violated via a dynamical process. This intuition leads to the cobordism conjecture. Consider a gravitational theory that can be put on two backgrounds
Swampland_(physics)
American mathematical physicist (b. 1961)
worked on applications of higher categories to physics, such as the cobordism hypothesis. He has also dedicated many efforts towards applied category theory
John_C._Baez
motivated by an application to topological quantum field theory and cobordism hypothesis in particular. It was introduced by David Ayala, John Francis, and
Factorization_homology
Representation theory of groups
field theory in 1 + 1 dimensions by a particular instance of the cobordism hypothesis. Fundamental representation Permutation representation Quasiregular
Regular_representation
Field theory involving topological effects in physics
Topological quantum computer Topological string theory Arithmetic topology Cobordism hypothesis Atiyah, Michael (1988a). "New invariants of three and four dimensional
Topological quantum field theory
Topological_quantum_field_theory
Mathematics timeline
the cobordism hypothesis. 2008 Michael Hopkins–Jacob Lurie Sketch of proof of the Baez–Dolan tangle hypothesis and the Baez–Dolan cobordism hypothesis, which
Timeline_of_manifolds
History of maths
with duals on one object. 1995 John Baez-James Dolan Cobordism hypothesis (Extended TQFT hypothesis I): The n-category of which n-dimensional extended TQFTs
Timeline of category theory and related mathematics
Timeline_of_category_theory_and_related_mathematics
Decomposition of a manifold into standard pieces
essential ingredient of the proof of the Smale h-cobordism theorem, and its generalization to the s-cobordism theorem. A manifold is called a "k-handlebody"
Handlebody
Pseudo-Riemannian manifold Riemannian bundle metric Riemannian circle Riemannian cobordism Riemannian connection Riemannian connection on a surface Riemannian cubic
List of things named after Bernhard Riemann
List_of_things_named_after_Bernhard_Riemann
American mathematician (born 1930)
four. Building on these works, he also established the more powerful h-cobordism theorem the following year, together with the full classification of simply-connected
Stephen_Smale
Unsolved problem in geometry
Hodge class. Totaro (1997) reinterpreted their result in the framework of cobordism and found many examples of such classes. The simplest adjustment of the
Hodge_conjecture
French mathematician (1928–2014)
Chern classes, are considered the background to the theory of algebraic cobordism, another algebraic analogue of topological ideas. Grothendieck's emphasis
Alexander_Grothendieck
Subject area in mathematics
are not assumed to be simply connected, then an h-cobordism need not be a cylinder. The s-cobordism theorem, due independently to Mazur, Stallings, and
Algebraic_K-theory
Result in algebraic geometry
operations between algebraic oriented cohomology theories (such as algebraic cobordism). The Grothendieck-Riemann-Roch is a particular case of this result, and
Grothendieck–Riemann–Roch theorem
Grothendieck–Riemann–Roch_theorem
British-Lebanese mathematician (1929–2019)
cohomology theories called bordism and cobordism, and pointed out that many of the deep results on cobordism of manifolds found by René Thom, C. T. C
Michael_Atiyah
Wave in general relativity
is possible to demonstrate the Spectrum Completeness Hypothesis and justify the famous Cobordism Conjecture. In short, solitons are not simple stable
Gravitational_soliton
Relationship between programs and proofs
δ is derivable from Γ, denoted Γ ⊢ δ, in the following cases: δ is an hypothesis, i.e. it is a formula of Γ, δ is an instance of an axiom scheme; i.e.
Curry–Howard_correspondence
Theorem in geometric topology
greater than four and extended his techniques to prove the fundamental h-cobordism theorem. In 1982, Michael Freedman proved the Poincaré conjecture in four
Poincaré_conjecture
theorem, introduced the notions of oriented and unoriented cobordism, and demonstrated that cobordism groups could be computed as the homotopy groups of certain
List of publications in mathematics
List_of_publications_in_mathematics
Fáry–Milnor theorem (knot theory) Fenchel's theorem (differential geometry) H-cobordism theorem (differential topology) Hirzebruch signature theorem (topology
List_of_theorems
Connects homology and cohomology groups for oriented closed manifolds
S2CID 14601373 Rudyak, Yuli (1998). On Thom spectra, orientability, and cobordism. Springer Monographs in Mathematics. With a foreword by Haynes Miller
Poincaré_duality
Concept in category theory
{\displaystyle \mathbf {Bord} _{\langle n-1,n\rangle }} be the category of cobordisms of n-1,n-dimensional manifolds with tensor product given by disjoint union
Monoidal_functor
Theoretical framework in physics
nature of atomic spectral lines. In 1924, Louis de Broglie proposed the hypothesis of wave–particle duality, that microscopic particles exhibit both wave-like
Quantum_field_theory
Study of categorified structures
2-Hilbert spaces and 2-linear maps for manifolds and cobordisms. At the next step, one obtains cobordisms with corners via natural transformations of such
Higher-dimensional_algebra
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS
COBORDISM HYPOTHESIS