m at h . A T ] 4 M ar 1 99 8 SYMMETRIC SPECTRA
نویسنده
چکیده
Introduction 2 1. Symmetric spectra 5 1.1. Simplicial sets 5 1.2. Symmetric spectra 6 1.3. Simplicial structure on Sp 8 1.4. Symmetric Ω-spectra 10 2. The smash product of symmetric spectra 11 2.1. Symmetric sequences 11 2.2. Symmetric spectra 14 2.3. The ordinary category of spectra 18 3. Stable homotopy theory of symmetric spectra 19 3.1. Stable equivalence 20 3.2. Model categories 26 3.3. Level structure 32 3.4. Stable model category 34 4. Comparison with the Bousfield-Friedlander category 39 4.1. Quillen equivalences 39 4.2. The stable Bousfield-Friedlander category 41 4.3. The Quillen equivalence 42 4.4. Description of V 45 5. Additional properties of symmetric spectra 46 5.1. Level model structure 46 5.2. Stable cofibrations 51 5.3. Pushout smash product 52 5.4. Proper model categories 56 5.5. The monoid axiom 58 5.6. Semistable spectra 61 6. Topological spectra 63 6.1. Compactly generated spaces 63 6.2. Topological spectra 66 6.3. Stable model structure 67 6.4. Properties of topological symmetric spectra 73 References 76
منابع مشابه
1 7 M ar 1 99 8 Excitations in the dilute A L lattice model : E 6 , E 7 and E 8 mass spectra
متن کامل
ar X iv : h ep - t h / 96 05 03 8 v 1 7 M ay 1 99 6 DAMTP 96 - 45 φ 4 Kinks - Gradient Flow and Dynamics
The symmetric dynamics of two kinks and one antikink in classical (1+1)dimensional φ theory is investigated. Gradient flow is used to construct a collective coordinate model of the system. The relationship between the discrete vibrational mode of a single kink, and the process of kink-antikink pair production is explored. ∗ e-mail address: [email protected] † e-mail address: M.Houari@d...
متن کاملar X iv : h ep - t h / 97 03 10 3 v 1 1 4 M ar 1 99 7 U ( 2 ) - chiral symmetries of supersymmetric QED 3
Supersymmetry is studied in 2+1 dimensions. In addition to the mul-tiplets corresponding to those in 3+1 dimensions the Clifford algebra allows an extra set. When the extra chiral multiplet is included, formulating supersymmetric QED3 in the manner of Wess and Zumino yields a lagrangian with a richer 'chiral' symmetry than that derived from super-symmetric QED by dimensional reduction.
متن کاملar X iv : h ep - t h / 94 12 03 1 v 1 4 D ec 1 99 4 Quantum symmetric spaces
Let G be a semisimple Lie group, g its Lie algebra. For any symmetric space M over G we construct a new (deformed) multiplication in the space A of smooth functions on M. This multiplication is invariant under the action of the Drinfeld–Jimbo quantum group U h g and is commutative with respect to an involutive operator˜S : A⊗A → A⊗A. Such a multiplication is unique. Let M be a kählerian symmetr...
متن کاملar X iv : m at h / 97 05 23 0 v 1 [ m at h . N T ] 1 6 M ay 1 99 7 Operations on Locally Free Classgroups by Bernhard Köck
Let Γ be a finite group and K a number field. We show that the operation ψk defined by Cassou-Noguès and Taylor on the locally free classgroup Cl(OKΓ ) is a symmetric power operation if gcd(k, ord(Γ )) = 1. Using the equivariant Adams-Riemann-Roch theorem, we furthermore give a geometric interpretation of a formula established by Burns and Chinburg for these operations.
متن کامل