Ayala, David
- A stratified homotopy hypothesis
2015/02/05 by Ayala, David, Francis, John, Rozenblyum, Nick · 2 citations
#32S60 #55N40 #57N80 #57P05 #57R40 #Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Geometric Topology (math.GT)
- The cobordism hypothesis
2017/05/05 by Ayala, David, Francis, John · 2 citations
#18B30 #18D10 #57N80 #57R56 #57R90 #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)
- Factorization homology I: higher categories
2015/04/15 by Ayala, David, Francis, John, Rozenblyum, Nick · 1 citation
#Algebraic Topology (math.AT) #Category Theory (math.CT) #FOS: Mathematics #Geometric Topology (math.GT) #Quantum Algebra (math.QA)
- Geometric Cobordism Categories
2008/11/14 by David Ayala, Ayala, David · 1 citation
Mathematics · #57R15 #57R90 #Advanced Topics in Algebra #Algebraic Topology (math.AT) #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.AT #msc:57R15 #msc:57R90
- Derived Mackey functors and Cpn-equivariant cohomology
2021/05/06 by David Ayala, Ayala, David, Aaron Mazel-Gee +3 · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology
- A factorization homology primer
2019/03/26 by David Ayala, Ayala, David, John Francis +1 · 1 citation
Computer Science · Mathematics · Medicine · #Algebraic Topology (math.AT) #Cancer Treatment and Pharmacology #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Topological and Geometric Data Analysis
- Stratified noncommutative geometry
2019/10/31 by David Ayala, Ayala, David, Aaron Mazel-Gee +3 · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Homotopy and Cohomology in Algebraic Topology #Advanced Topics in Algebra
- Factorization homology of enriched ∞-categories
2017/10/17 by David Ayala, Ayala, David, Francis, John +4 · 1 citation
Mathematics · Medicine · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Category Theory (math.CT) #FOS: Mathematics #FOS: Physical sciences #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Ophthalmology and Eye Disorders #Quantum Algebra (math.QA)