An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants

Resource Information

The instance An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants represents a material embodiment of a distinct intellectual or artistic creation found in Missouri University of Science & Technology Library. This resource is a combination of several types including: Instance, Electronic.

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Label

An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants

Instantiates

• An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants

Publication

• Providence, American Mathematical Society, 2019

Note

6.4.1. The standard splicing map

Carrier category

online resource

Carrier category code

• cr

Carrier MARC source

rdacarrier

Content category

text

Content type code

• txt

Content type MARC source

rdacontent

Contents

• Cover; Title page; Preface; Acknowledgments; Chapter 1. Introduction; 1.1. Summary of main results; 1.2. Outline of the argument; 1.2.1. Problem of overlaps; 1.2.2. Overlap space and overlap maps; 1.2.3. Associativity of splicing maps; 1.2.4. Instanton moduli space with spliced ends; 1.2.5. Space of global splicing data; 1.2.6. Definition of link of a subspace of a moduli space of ideal Seiberg-Witten monopoles; 1.2.7. Computation of intersection numbers with the link of the moduli space of ideal Seiberg-Witten monopoles; 1.3. Kotschick-Morgan Conjecture; 1.4. Outline of the monograph
• Chapter 2. Preliminaries2.1. The moduli space of \SO(3) monopoles; 2.1.1. Clifford modules; 2.1.2. \SO(3) monopoles; 2.2. Stratum of anti-self-dual or zero-section solutions; 2.3. Strata of Seiberg-Witten or reducible solutions; 2.3.1. Seiberg-Witten monopoles; 2.3.2. Seiberg-Witten invariants; 2.3.3. Reducible \SO(3) monopoles; 2.3.4. Circle actions; 2.3.5. The virtual normal bundle of the Seiberg-Witten moduli space; 2.4. Cohomology classes on the moduli space of \SO(3) monopoles; 2.5. Donaldson invariants; 2.6. Links and the cobordism
• Chapter 3. Diagonals of symmetric products of manifolds3.1. Definitions; 3.1.1. Subgroups of the symmetric group; 3.1.2. Definition of the diagonals; 3.1.3. Strata of the symmetric product; 3.2. Incidence relations among diagonals and strata; 3.3. Normal bundles of diagonals and strata; 3.4. Enumeration of the strata; Chapter 4. A partial Thom-Mather structure on symmetric products; 4.1. Introduction; 4.2. Diagonals in products of \RR4; 4.3. Families of metrics; 4.4. Overlap maps; 4.4.1. The downwards overlap map; 4.4.2. The upwards overlap map; 4.4.3. Commuting overlap maps
• 4.4.4. The projection maps4.5. Construction of the families of locally flattened metrics; 4.6. Normal bundles of strata of \Sym{̂{u2113}}(); 4.7. The tubular distance function; 4.8. Decomposition of the strata; Chapter 5. The instanton moduli space with spliced ends; 5.1. Introduction; 5.2. Connections over the four-dimensional sphere; 5.3. Strata containing the product connection; 5.3.1. Tubular neighborhoods; 5.4. The splicing map with the product connection over \RR4; 5.5. Composition of splicing maps; 5.5.1. Definition of the overlap data; 5.5.2. Equality of splicing maps
• 5.5.3. Symmetric group actions and quotients5.6. The spliced end of the instanton moduli space; 5.7. Tubular neighborhoods of the instanton moduli space with spliced ends; 5.8. Isotopy of the spliced end of the instanton moduli space; 5.9. Properties of the instanton moduli space with spliced ends; Chapter 6. The space of global splicing data; 6.1. Introduction; 6.2. Splicing data; 6.2.1. Background pairs; 6.2.2. Riemannian metrics; 6.2.3. Frame bundles; 6.2.4. Group actions on the frame bundles; 6.2.5. Space of splicing data; 6.3. The flattening map on pairs; 6.4. The crude splicing map

Control code

1083465463

Dimensions

unknown

Extent

1 online resource (254 pages)

Form of item

online

Isbn

9781470449155

Media category

computer

Media MARC source

rdamedia

Media type code

• c

Record ID

.b137386588

Specific material designation

remote

System control number

(OCoLC)1083465463