The Resource The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by AndreiTudor Patrascu, (electronic resource)
The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by AndreiTudor Patrascu, (electronic resource)
 Summary
 This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of nonperturbative physics{u2014}one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the EREPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics
 Language
 eng
 Extent
 XVI, 270 p. 6 illus., 1 illus. in color.
 Contents

 Introduction
 Elements of General Topology
 Algebraic Topology
 Homological Algebra
 Connections: Topology and Analysis
 The Atyiah Singer Index Theorem
 Universal Coe{uFB03}cient Theorems
 BV and BRST Quantization, Quantum Observables and Symmetry
 Universal Coe{uFB03}cient Theorem and Quantum Field Theory
 The Universal Coe{uFB03}cient Theorem and Black Holes
 From Grothendieck{u2019}s Schemes to QCD
 Conclusions.
 Isbn
 9783319461434
 Label
 The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker
 Title
 The Universal Coefficient Theorem and Quantum Field Theory
 Title remainder
 A Topological Guide for the Duality Seeker
 Statement of responsibility
 by AndreiTudor Patrascu
 Language
 eng
 Summary
 This thesis describes a new connection between algebraic geometry, topology, number theory and quantum field theory. It offers a pedagogical introduction to algebraic topology, allowing readers to rapidly develop basic skills, and it also presents original ideas to inspire new research in the quest for dualities. Its ambitious goal is to construct a method based on the universal coefficient theorem for identifying new dualities connecting different domains of quantum field theory. This thesis opens a new area of research in the domain of nonperturbative physics{u2014}one in which the use of different coefficient structures in (co)homology may lead to previously unknown connections between different regimes of quantum field theories. The origin of dualities is an issue in fundamental physics that continues to puzzle the research community with unexpected results like the AdS/CFT duality or the EREPR conjecture. This thesis analyzes these observations from a novel and original point of view, mainly based on a fundamental connection between number theory and topology. Beyond its scientific qualities, it also offers a pedagogical introduction to advanced mathematics and its connection with physics. This makes it a valuable resource for students in mathematical physics and researchers wanting to gain insights into (co)homology theories with coefficients or the way in which Grothendieck's work may be connected with physics
 Image bit depth
 0
 Literary form
 non fiction
 Series statement
 Springer Theses, Recognizing Outstanding Ph.D. Research,
 Label
 The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by AndreiTudor Patrascu, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Elements of General Topology  Algebraic Topology  Homological Algebra  Connections: Topology and Analysis  The Atyiah Singer Index Theorem  Universal Coe{uFB03}cient Theorems  BV and BRST Quantization, Quantum Observables and Symmetry  Universal Coe{uFB03}cient Theorem and Quantum Field Theory  The Universal Coe{uFB03}cient Theorem and Black Holes  From Grothendieck{u2019}s Schemes to QCD  Conclusions.
 http://library.link/vocab/cover_art
 https://contentcafe2.btol.com/ContentCafe/Jacket.aspx?Return=1&Type=S&Value=9783319461434&userID=ebscotest&password=ebscotest
 Dimensions
 unknown
 http://library.link/vocab/discovery_link
 {'f': 'http://opac.lib.rpi.edu/record=b4257774'}
 Extent
 XVI, 270 p. 6 illus., 1 illus. in color.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319461434
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
Embed (Experimental)
Settings
Select options that apply then copy and paste the RDF/HTML data fragment to include in your application
Embed this data in a secure (HTTPS) page:
Layout options:
Include data citation:
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/TheUniversalCoefficientTheoremandQuantum/NKgfC4mdUPY/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/TheUniversalCoefficientTheoremandQuantum/NKgfC4mdUPY/">The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by AndreiTudor Patrascu, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>
Note: Adjust the width and height settings defined in the RDF/HTML code fragment to best match your requirements
Preview
Cite Data  Experimental
Data Citation of the Item The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by AndreiTudor Patrascu, (electronic resource)
Copy and paste the following RDF/HTML data fragment to cite this resource
<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.lib.rpi.edu/portal/TheUniversalCoefficientTheoremandQuantum/NKgfC4mdUPY/" typeof="WorkExample http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.lib.rpi.edu/portal/TheUniversalCoefficientTheoremandQuantum/NKgfC4mdUPY/">The Universal Coefficient Theorem and Quantum Field Theory : A Topological Guide for the Duality Seeker, by AndreiTudor Patrascu, (electronic resource)</a></span>  <span property="offers" typeOf="Offer"><span property="offeredBy" typeof="Library ll:Library" resource="http://link.lib.rpi.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.lib.rpi.edu/">Rensselaer Libraries</a></span></span></span></span></div>