equal
deleted
inserted
replaced
27 formula allowing calculations by cutting manifolds into smaller parts (see Theorem \ref{thm:gluing}). |
27 formula allowing calculations by cutting manifolds into smaller parts (see Theorem \ref{thm:gluing}). |
28 |
28 |
29 We expect applications of the blob complex to contact topology and Khovanov homology but do not address these in this paper. |
29 We expect applications of the blob complex to contact topology and Khovanov homology but do not address these in this paper. |
30 See \S \ref{sec:future} for slightly more detail. |
30 See \S \ref{sec:future} for slightly more detail. |
31 |
31 |
32 \subsubsection{Structure of the paper} |
32 \subsection{Structure of the paper} |
33 The subsections of the introduction explain our motivations in defining the blob complex (see \S \ref{sec:motivations}), |
33 The subsections of the introduction explain our motivations in defining the blob complex (see \S \ref{sec:motivations}), |
34 summarise the formal properties of the blob complex (see \S \ref{sec:properties}), describe known specializations (see \S \ref{sec:specializations}), outline the major results of the paper (see \S \ref{sec:structure} and \S \ref{sec:applications}) |
34 summarise the formal properties of the blob complex (see \S \ref{sec:properties}), describe known specializations (see \S \ref{sec:specializations}), outline the major results of the paper (see \S \ref{sec:structure} and \S \ref{sec:applications}) |
35 and outline anticipated future directions (see \S \ref{sec:future}). |
35 and outline anticipated future directions (see \S \ref{sec:future}). |
36 |
36 |
37 The first part of the paper (sections \S \ref{sec:fields}---\S \ref{sec:evaluation}) gives the definition of the blob complex, |
37 The first part of the paper (sections \S \ref{sec:fields}---\S \ref{sec:evaluation}) gives the definition of the blob complex, |