S1-equivariant Index theorems and Morse inequalities on complex manifolds with boundary
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Functional Analysis"
DOI: 10.1016/j.jfa.2020.108558
Abstract: Abstract Let M be a complex manifold of dimension n with smooth connected boundary X. Assume that M ‾ admits a holomorphic S 1 -action preserving the boundary X and the S 1 -action is… read more here.
Keywords: index; equivariant index; morse inequalities; theorems morse ... See more keywords
Index theorems for graph-parametrized optimal control problems
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DOI: 10.1088/1361-6544/acc5d4
Abstract: In this paper we prove Morse index theorems for a big class of constrained variational problems on graphs. Such theorems are useful in various physical and geometric applications. Our formulas compute the difference of Morse… read more here.
Keywords: parametrized optimal; index; graph parametrized; theorems graph ... See more keywords
Index Theorems for Gauge Theories
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DOI: 10.3938/jkps.73.436
Abstract: We review the topological invariants that count supersymmetric states for gauge theories, with an emphasis on string theory applications. In particular, the enumerative index and the twisted partition functions are carefully distinguished by how continuum… read more here.
Keywords: index theorems; theorems gauge; index; gauge theories ... See more keywords