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- Topological_modular_forms abstract "In mathematics, the spectrum of topological modular forms (tmf) describes a generalized cohomology theory whose coefficient ring is related to the graded ring of holomorphic modular forms with integral cusp expansions. Indeed, these two rings become isomorphic after inverting 6. tmf is constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized) elliptic curves. This theory has relations to the theory of modular forms in number theory, the homotopy groups of spheres, and conjectural index theories on loop spaces of manifolds. tmf was first constructed by Mike Hopkins and Haynes Miller; many of the computations can be found in preprints and articles by Paul Goerss, Mike Hopkins, Mark Mahowald, Haynes Miller, Charles Rezk, and Tilman Bauer.".
- Topological_modular_forms wikiPageExternalLink sum.pdf.
- Topological_modular_forms wikiPageExternalLink 0212397.
- Topological_modular_forms wikiPageExternalLink 0311328.
- Topological_modular_forms wikiPageExternalLink Survey.pdf.
- Topological_modular_forms wikiPageExternalLink buildTMF.pdf.
- Topological_modular_forms wikiPageExternalLink item=surv-201.
- Topological_modular_forms wikiPageExternalLink survey.pdf.
- Topological_modular_forms wikiPageExternalLink eo2homotopy.pdf.
- Topological_modular_forms wikiPageExternalLink 512-spr2001-notes.pdf.
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- Topological_modular_forms wikiPageRevisionID "697328221".
- Topological_modular_forms wikiPageWikiLink Atiyah–Singer_index_theorem.
- Topological_modular_forms wikiPageWikiLink Category:Algebraic_topology.
- Topological_modular_forms wikiPageWikiLink Category:Cohomology_theories.
- Topological_modular_forms wikiPageWikiLink Cohomology.
- Topological_modular_forms wikiPageWikiLink Compactification_(mathematics).
- Topological_modular_forms wikiPageWikiLink Conformal_field_theory.
- Topological_modular_forms wikiPageWikiLink Cusp_form.
- Topological_modular_forms wikiPageWikiLink Deligne–Mumford_compactification.
- Topological_modular_forms wikiPageWikiLink Differentiable_manifold.
- Topological_modular_forms wikiPageWikiLink Dirac_equation.
- Topological_modular_forms wikiPageWikiLink Edward_Witten.
- Topological_modular_forms wikiPageWikiLink Eilenberg–Steenrod_axioms.
- Topological_modular_forms wikiPageWikiLink Elliptic_cohomology.
- Topological_modular_forms wikiPageWikiLink Elliptic_curve.
- Topological_modular_forms wikiPageWikiLink Equivariant_index_theorem.
- Topological_modular_forms wikiPageWikiLink Formal_group.
- Topological_modular_forms wikiPageWikiLink Functor.
- Topological_modular_forms wikiPageWikiLink Genus_of_a_multiplicative_sequence.
- Topological_modular_forms wikiPageWikiLink Graded_ring.
- Topological_modular_forms wikiPageWikiLink Graeme_Segal.
- Topological_modular_forms wikiPageWikiLink Grothendieck_topology.
- Topological_modular_forms wikiPageWikiLink Highly_structured_ring_spectrum.
- Topological_modular_forms wikiPageWikiLink Homotopy_group.
- Topological_modular_forms wikiPageWikiLink Homotopy_groups_of_spheres.
- Topological_modular_forms wikiPageWikiLink Jacob_Lurie.
- Topological_modular_forms wikiPageWikiLink K-theory.
- Topological_modular_forms wikiPageWikiLink List_of_cohomology_theories.
- Topological_modular_forms wikiPageWikiLink Loop_space.
- Topological_modular_forms wikiPageWikiLink Manifold.
- Topological_modular_forms wikiPageWikiLink Mathematics.
- Topological_modular_forms wikiPageWikiLink Michael_J._Hopkins.
- Topological_modular_forms wikiPageWikiLink Modular_form.
- Topological_modular_forms wikiPageWikiLink Moduli_space.
- Topological_modular_forms wikiPageWikiLink Number_theory.
- Topological_modular_forms wikiPageWikiLink Obstruction_theory.
- Topological_modular_forms wikiPageWikiLink Pontryagin_class.
- Topological_modular_forms wikiPageWikiLink Ring_spectrum.
- Topological_modular_forms wikiPageWikiLink Sheaf_(mathematics).
- Topological_modular_forms wikiPageWikiLink Spectrum_(topology).
- Topological_modular_forms wikiPageWikiLink Spin_structure.
- Topological_modular_forms wikiPageWikiLink Stack_(mathematics).
- Topological_modular_forms wikiPageWikiLink Statistical_field_theory.
- Topological_modular_forms wikiPageWikiLink String_theory.
- Topological_modular_forms wikiPageWikiLink Supersymmetry.
- Topological_modular_forms wikiPageWikiLink Topology.
- Topological_modular_forms wikiPageWikiLink Weierstrasss_elliptic_functions.
- Topological_modular_forms wikiPageWikiLink Étale_morphism.
- Topological_modular_forms wikiPageWikiLinkText "TMF".
- Topological_modular_forms wikiPageWikiLinkText "Topological modular forms".
- Topological_modular_forms wikiPageWikiLinkText "tmf".
- Topological_modular_forms wikiPageWikiLinkText "topological modular forms".
- Topological_modular_forms wikiPageUsesTemplate Template:Citation.
- Topological_modular_forms subject Category:Algebraic_topology.
- Topological_modular_forms subject Category:Cohomology_theories.
- Topological_modular_forms type Theory.
- Topological_modular_forms comment "In mathematics, the spectrum of topological modular forms (tmf) describes a generalized cohomology theory whose coefficient ring is related to the graded ring of holomorphic modular forms with integral cusp expansions. Indeed, these two rings become isomorphic after inverting 6. tmf is constructed as the global sections of a sheaf of E-infinity ring spectra on the moduli stack of (generalized) elliptic curves.".
- Topological_modular_forms label "Topological modular forms".
- Topological_modular_forms sameAs Q7825037.
- Topological_modular_forms sameAs m.02q73t8.
- Topological_modular_forms sameAs Q7825037.
- Topological_modular_forms wasDerivedFrom Topological_modular_forms?oldid=697328221.
- Topological_modular_forms isPrimaryTopicOf Topological_modular_forms.